[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360653-105":59,"doc-detail-360653-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","greatest-common-factor-word-problems-b-the-school-garden","Greatest Common Factor Word Problems (B) - The School Garden","","Greatest Common Factor Word Problems (B) centers on practical gardening and packing scenarios requiring students to find the greatest common factor to determine the maximum number of equal groups, rows, boxes, plots, packets, bags, and identical pieces. Problems address situations with seedlings, seeds, vegetables packed into boxes, rectangular plots, equal square sections, and dividing fencing and trellis netting into the longest possible identical lengths. An included answer key provides computed GCFs and final quantities with factor-based steps.",{"@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-word-problems-b-the-school-garden/360653/",{"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-word-problems-b-the-school-garden/360653.png","ImageObject",300,407,{"name":92,"@type":93},"Bintang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the greatest number of equal rows for the tomato and pepper seedlings problem?","Question",{"text":112,"@type":113},"Compute the GCF of 32 and 24, which is 8. Then divide each amount by 8 to get 4 tomato rows and 3 pepper rows.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What method determines the greatest number of identical seed packets using all seeds?",{"text":117,"@type":113},"Find the GCF of 45 and 30. The GCF is 15, so they can make 15 packets, each with 3 sunflower seeds and 2 marigold seeds.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the largest square section size found for the rectangular garden bed?",{"text":121,"@type":113},"Compute the GCF of the side lengths 60 and 36. The GCF is 12, so each square section is 12 inches by 12 inches.","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},360653,1790628149,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:    \nGreatest Common Factor Word Problems (B)  \nTHE SCHOOL GARDEN  \nDirections: Solve each word problem. Show all of your work and circle your answer.  \n1. A school garden has 32 tomato seedlings and 24 pepper seedlings.  \nStudents want to plant them in rows with the same type of plant in each row and no seedlings leftover. What is the greatest number of rows of each type they can make? Show your work:  \n2. A garden club has 45 sunflower seeds and 30 marigold seeds. They want to make identical seed packets with the same number of each type per packet and none left over. What is the greatest number of packets they can make? Show your work:  \n3. The garden team collected 56 cucumbers, 42 zucchinis, and 70 green beans. They want to pack them into identical boxes using all the vegetables with none left over. What is the greatest number of boxes they can pack?  \nShow your work:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n4. A garden has 66 strawberry plants and 44 blueberry plants to be arranged in rectangular garden plots. Each plot must have the same number of strawberry plants and the same number of blueberry plants, with none left over. What is the greatest number of plots possible?  \nShow your work:  \n5. A rectangular garden bed is 60 inches long and 36 inches wide. Students want to divide it into equal square sections with no space left over. What is the largest possible size of each square section?  \nShow your work:  \n6. The garden club harvested 80 carrots and 120 radishes to donate to local families. They want to divide them into identical donation bags using all the vegetables. How many bags can they make? How many of each vegetable goes in each bag?  \n7. Show your work:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n8. A garden team has 96 inches of fencing and 72 inches of trellis netting. They want to cut both into equal-length pieces as long as possible with nothing left over. What length should each piece be? How many total pieces will they have?  \nShow your work:  \nChallenge Problem  \n9. Three student teams are planting bulbs in the garden. Team 1 has 120 bulbs, Team 2 has 90 bulbs, and Team 3 has 75 bulbs. Each team wants to plant their bulbs in equal-sized groups, using the same group size for all three teams and making the groups as large as possible. How many bulbs per group? How many groups does each team have?  \nShow your work:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) 1. ) Answer: 8 rows (4 tomato, 3 pepper) Steps: Factors of 32: 1,2,4,8,16,32 → Factors of 24:  \n1,2,3,4,6,8,12,24 → GCF(32,24) = 8 → 8 rows of each type: 4 tomato rows, 3 pepper rows  \n2.) 2. ) Answer: 15 packets (3 sunflower, 2 marigold each) Steps: 45 = 3² ×5 30 = 2×3×5 → GCF(45,30) = 3×5 = 15 → 15 packets: 3 sunflower and 2 marigold seeds each  \n3.) 3. ) Answer: 14 boxes Steps: GCF(56,42): 56=2³ ×7, 42=2×3×7 → GCF=2×7=14 → GCF(14,70):  \n70=2×5×7 → GCF=14 → 14 boxes: 4 cucumbers, 3 zucchinis, 5 green beans each  \n4.) 4. ) Answer: 22 plots (3 strawberry, 2 blueberry each) Steps: 66 = 2×3×11 44 = 2² ×11 → GCF(66,44) = 2×11 = 22 → 22 plots: 3 strawberry and 2 blueberry plants each  \n5.) 5. ) Answer: 12 inches × 12 inches Steps: 60 = 2² ×3×5 36 = 2² ×3² → GCF(60,36) = 2² ×3 = 12 inches  \n6.) 6. ) Answer: 40 bags (2 carrots, 3 radishes each) Steps: 80 = 2⁴ ×5 120 = 2³ ×3×5 → GCF(80,120)= 2³ ×5 = 40 → 40 bags: 2 carrots and 3 radishes each  \n7.) 7. ) Answer: 24 inches per piece; 7 total pieces (4 fencing + 3 netting) Steps: 96 = 2⁵ ×3 72 = 2³ ×3²→ GCF(96,72) = 2³ ×3 = 24 inches → Fencing: 96÷24 = 4 pieces Netting: 72÷24 = 3 pieces → Total: 4+3 = 7 pieces ","cbCaib5KETmaNhWj","https://ap.wps.com/l/cbCaib5KETmaNhWj","pdf",681653,"English","# Greatest Common Factor Word Problems (B)\n## The School Garden","[{\"question\":\"How do you find the greatest number of equal rows for the tomato and pepper seedlings problem?\",\"answer\":\"Compute the GCF of 32 and 24, which is 8. Then divide each amount by 8 to get 4 tomato rows and 3 pepper rows.\"},{\"question\":\"What method determines the greatest number of identical seed packets using all seeds?\",\"answer\":\"Find the GCF of 45 and 30. The GCF is 15, so they can make 15 packets, each with 3 sunflower seeds and 2 marigold seeds.\"},{\"question\":\"How is the largest square section size found for the rectangular garden bed?\",\"answer\":\"Compute the GCF of the side lengths 60 and 36. The GCF is 12, so each square section is 12 inches by 12 inches.\"}]","Greatest Common Factor Word Problems (B) - The School Garden | PDF",1790140847]