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The document presents five specific math problems, requiring students to determine the prime factorization of each number to calculate the GCF, HCF, or GCD. Clear step-by-step solutions are included at the end of the worksheet, illustrating the factorization process and the final calculation for each problem. It serves as an effective learning aid for reinforcing fundamental arithmetic concepts, specifically focusing on divisibility and prime number decomposition. The content is tailored for primary or middle school mathematics students seeking to master factor identification through methodical analysis.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/greatest-common-factor-sheet-3b-practice-problems-and-answers/635391/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/greatest-common-factor-sheet-3b-practice-problems-and-answers/635391.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the Greatest Common Factor (GCF) of 22 and 44?","Question",{"text":112,"@type":113},"The prime factorization of 22 is 2 x 11, and for 44 is 2 x 2 x 11. Therefore, the greatest common factor is 2 x 11, which equals 22.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the highest common factor for 45 and 27?",{"text":117,"@type":113},"By breaking down the numbers, 45 is 3 x 3 x 5 and 27 is 3 x 3 x 3. The common factors are 3 x 3, resulting in a highest common factor of 9.",{"name":119,"@type":110,"acceptedAnswer":120},"Are 'highest common factor' and 'greatest common divisor' the same as 'greatest common factor'?",{"text":121,"@type":113},"Yes, these terms are synonymous and refer to the same mathematical concept of finding the largest positive integer that divides each of the numbers in a given set without leaving a remainder.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},635391,1793136504,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","Name Date  \nGREATEST COMMON FACTOR SHEET 3B  \nFor each problem below, write out the lists offactors to find the GCF.  \n\n| 1) Find the greatest common factor of 22 and 44. |\n| --- |\n| Prime Factorization of 22: Prime Factorization of 44: |\n| The greatest common factor is   |\n| 2) Find the highest common factor of 45 and 27. |\n| Prime Factorization of 45: Prime Factorization of 27: |\n| The highest common factor is   |\n| 3) Find the greatest common factor of 42 and 35. |\n| Prime Factorization of 42: Prime Factorization of 35: |\n| The greatest common factor is   |\n| 4) Find the highest common factor of 50 and 21. |\n| Prime Factorization of 50: Prime Factorization of 21: |\n| The highest common factor is   |\n| 5) Find the greatest common divisor of 51 and 42. |\n| Prime Factorization of 51: Prime Factorization of 42: |\n\nThe greatest common divisor is  .  \nNote: the highest common factor and the greatest common divisor mean the same as the greatest common factor.  \nName Date  \nGREATEST COMMON FACTOR SHEET 3B ANSWERS  \n1) Find the greatest common factor of 22 and 44.  \nPrime Factorization of 22: 2 x 11 Prime Factorization of 44: 2 x 2 x 11  \n\n| The greatest common factor is 2 x 11 = 22. |\n| --- |\n| 2) Find the highest common factor of 45 and 27. |\n| Prime Factorization of 45: 3 x 3 x 5 Prime Factorization of 27: 3 x 3 x 3 |\n| The highest common factor is 3 x 3 = 9.\u003Cbr>3) Find the greatest common factor of 42 and 35. |\n| Prime Factorization of 42: 2 x 3 x 7 Prime Factorization of 35: 5 x 7 |\n| The greatest common factor is 7. |\n| 4) Find the highest common factor of 50 and 21. |\n| Prime Factorization of 50: 2 x 5 x 5 Prime Factorization of 21: 3 x 7 |\n\nThe highest common factor is 1.  \n5) Find the greatest common divisor of 51 and 42.  \n Prime Factorization of 51: 3 x 17 Prime Factorization of 42: 2 x 3 x 7   \nThe greatest common divisor is 3.","cbCairFREqpLmALZ","https://ap.wps.com/l/cbCairFREqpLmALZ","pdf",165852,"English","# Greatest Common Factor Problems\n## Practice Worksheet\n## Answer Key","[{\"question\":\"What is the Greatest Common Factor (GCF) of 22 and 44?\",\"answer\":\"The prime factorization of 22 is 2 x 11, and for 44 is 2 x 2 x 11. Therefore, the greatest common factor is 2 x 11, which equals 22.\"},{\"question\":\"How do you find the highest common factor for 45 and 27?\",\"answer\":\"By breaking down the numbers, 45 is 3 x 3 x 5 and 27 is 3 x 3 x 3. The common factors are 3 x 3, resulting in a highest common factor of 9.\"},{\"question\":\"Are 'highest common factor' and 'greatest common divisor' the same as 'greatest common factor'?\",\"answer\":\"Yes, these terms are synonymous and refer to the same mathematical concept of finding the largest positive integer that divides each of the numbers in a given set without leaving a remainder.\"}]","Greatest Common Factor - Sheet 3B - Practice Problems and Answers | PDF",1792675897]