[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-474421-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-474421-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","finding-greatest-common-factor-answer-key-474421","Finding Greatest Common Factor - Answer Key","","Worksheet and answer key focused on determining the greatest common factor (GCF) of number pairs. It demonstrates how to list factors for two given integers, identify common factors, and select the greatest shared factor as the GCF. Worked examples include pairs such as 12 and 16, 33 and 24, 6 and 33, 33 and 8, and multiple additional sets, concluding with an answers section that matches each item’s correct GCF.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-greatest-common-factor-answer-key-474421/474421/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-greatest-common-factor-answer-key-474421/474421.png","ImageObject",300,407,{"name":42,"@type":43},"วิน","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-09","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the greatest common factor (GCF)?","Question",{"text":62,"@type":63},"The GCF is the greatest number that divides two given integers evenly. It is found by selecting the largest common factor shared by both numbers.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you find the GCF of 12 and 16?",{"text":67,"@type":63},"List the factors of 12 and list the factors of 16, then identify common factors. For 12 and 16, the shared factors include 1, 2, and 4, and the greatest common factor is 4.",{"name":69,"@type":60,"acceptedAnswer":70},"Where can you check your answers for each number pair?",{"text":71,"@type":63},"Use the included “Answer Key” section, which provides the correct GCF for each listed problem item in order.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},474421,1791077907,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":112,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","Finding Greatest Common Factor  \nName:  \n\n| \u003Cbr>Determine the greatest common factor (GCF) of each set of numbers.\u003Cbr>To find the GCF of 12 & 16, first write down the factors of each number. Factors of 12 1 , 2 , 3 , 4 , 6 , 12\u003Cbr>Factors of 16 1 , 2 , 4 , 8 , 16\u003Cbr>2 & 4 are factors both 12 and 16 have in common, with 4 being the greatest. So 4 is the\u003Cbr>GCF. |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9. |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1) 33 , 24 Factors of 33 Factors of 24\u003Cbr>2) 6 , 33 Factors of 6 Factors of 33\u003Cbr>3) 33 , 8 Factors of 33 Factors of 8\u003Cbr>4) 16 , 12 Factors of 16 Factors of 12\u003Cbr>5) 24 , 14 Factors of 24 Factors of 14\u003Cbr>6) 28 , 22 Factors of 28 Factors of 22\u003Cbr>7) 12 , 6 Factors of 12 Factors of 6\u003Cbr>8) 30 , 12 Factors of 30 Factors of 12\u003Cbr>9) 21 , 39 Factors of 21 Factors of 39 |   ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,   ,   ,  \u003Cbr>  ,   ,   ,  \u003Cbr>  ,   ,   ,   |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-9 |  | 89 | 78 | 67 |  | 56 | 44 |  | 33 | 22 | 11 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nFinding Greatest Common Factor  \nName: Answer Key  \n\n| \u003Cbr>Determine the greatest common factor (GCF) of each set of numbers.\u003Cbr>To find the GCF of 12 & 16, first write down the factors of each number. Factors of 12 1 , 2 , 3 , 4 , 6 , 12\u003Cbr>Factors of 16 1 , 2 , 4 , 8 , 16\u003Cbr>2 & 4 are factors both 12 and 16 have in common, with 4 being the greatest. So 4 is the\u003Cbr>GCF.\u003Cbr>1) 33 , 24\u003Cbr>Factors of 33  1 , 3 , 11 , 33 \u003Cbr>Factors of 24  1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 \u003Cbr>2) 6 , 33\u003Cbr>Factors of 6  1 , 2 , 3 , 6 \u003Cbr>Factors of 33  1 , 3 , 11 , 33 \u003Cbr>3) 33 , 8\u003Cbr>Factors of 33  1 , 3 , 11 , 33  Factors of 8  1 , 2 , 4 , 8 \u003Cbr>4) 16 , 12\u003Cbr>Factors of 16  1 , 2 , 4 , 8 , 16 \u003Cbr>Factors of 12  1 , 2 , 3 , 4 , 6 , 12 \u003Cbr>5) 24 , 14\u003Cbr>Factors of 24  1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 \u003Cbr>Factors of 14  1 , 2 , 7 , 14 \u003Cbr>6) 28 , 22\u003Cbr>Factors of 28  1 , 2 , 4 , 7 , 14 , 28 \u003Cbr>Factors of 22  1 , 2 , 11 , 22 \u003Cbr>7) 12 , 6\u003Cbr>Factors of 12  1 , 2 , 3 , 4 , 6 , 12 \u003Cbr>Factors of 6  1 , 2 , 3 , 6 \u003Cbr>8) 30 , 12\u003Cbr>Factors of 30  1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 \u003Cbr>Factors of 12  1 , 2 , 3 , 4 , 6 , 12 \u003Cbr>9) 21 , 39\u003Cbr>Factors of 21  1 , 3 , 7 , 21  Factors of 39  1 , 3 , 13 , 39  |  |  |  | Answers 1.  3  2.  3  3.  1  4.  4  5.  2  6.  2  7.  6  8.  6  9.  3  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-9 | 89 | 78 | 67 | 56 | 44 | 33 | 22 | 11 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nFinding Greatest Common Factor  \nName:  \n\n| \u003Cbr>Determine the greatest common factor (GCF) of each set of numbers.\u003Cbr>To find the GCF of 12 & 16, first write down the factors of each number. Factors of 12 1 , 2 , 3 , 4 , 6 , 12\u003Cbr>Factors of 16 1 , 2 , 4 , 8 , 16\u003Cbr>2 & 4 are factors both 12 and 16 have in common, with 4 being the greatest. So 4 is the\u003Cbr>GCF. | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>2 2 3 3 4 1 |  |  |  |  |  |  |\n| 1) 33 , 24\u003Cbr>Factors of 33 , ,","cbCaiu4uUcQAJixY","https://ap.wps.com/l/cbCaiu4uUcQAJixY","pdf",518911,"English","# Determine the GCF\n## List factors for each number\n## Find common factors\n## Select the greatest common factor\n# Answer Key","[{\"question\":\"What is the greatest common factor (GCF)?\",\"answer\":\"The GCF is the greatest number that divides two given integers evenly. It is found by selecting the largest common factor shared by both numbers.\"},{\"question\":\"How do you find the GCF of 12 and 16?\",\"answer\":\"List the factors of 12 and list the factors of 16, then identify common factors. For 12 and 16, the shared factors include 1, 2, and 4, and the greatest common factor is 4.\"},{\"question\":\"Where can you check your answers for each number pair?\",\"answer\":\"Use the included “Answer Key” section, which provides the correct GCF for each listed problem item in order.\"}]","Finding Greatest Common Factor - Answer Key | PDF",1790784126,76]