{"id":26108,"date":"2025-06-19T10:23:41","date_gmt":"2025-06-19T10:23:41","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=26108"},"modified":"2025-06-19T10:23:44","modified_gmt":"2025-06-19T10:23:44","slug":"64-48-and-16-gcf-4864-and-32-gcf","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/64-48-and-16-gcf-4864-and-32-gcf\/","title":{"rendered":"64, 48 and 16 GCF 48,64 and 32 GCF"},"content":{"rendered":"\n<p>64, 48 and 16 GCF 48,64 and 32 GCF<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>GCF of 64, 48, and 16:<\/strong> <strong>16<\/strong><\/li>\n\n\n\n<li><strong>GCF of 48, 64, and 32:<\/strong> <strong>16<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>The <strong>Greatest Common Factor (GCF)<\/strong> is the largest number that can evenly divide each of the numbers in a given set without leaving a remainder. Finding the GCF is helpful in simplifying fractions, solving problems involving ratios, and more.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>1. GCF of 64, 48, and 16:<\/strong><\/h4>\n\n\n\n<p>Let\u2019s find the factors of each:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 64:<\/strong> 1, 2, 4, 8, 16, 32, 64<\/li>\n\n\n\n<li><strong>Factors of 48:<\/strong> 1, 2, 3, 4, 6, 8, 12, 16, 24, 48<\/li>\n\n\n\n<li><strong>Factors of 16:<\/strong> 1, 2, 4, 8, 16<\/li>\n<\/ul>\n\n\n\n<p>Now, the <strong>common factors<\/strong> of all three numbers are:<br><strong>1, 2, 4, 8, 16<\/strong><br>So the <strong>greatest<\/strong> one is <strong>16<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>2. GCF of 48, 64, and 32:<\/strong><\/h4>\n\n\n\n<p>Let\u2019s find the factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 48:<\/strong> 1, 2, 3, 4, 6, 8, 12, 16, 24, 48<\/li>\n\n\n\n<li><strong>Factors of 64:<\/strong> 1, 2, 4, 8, 16, 32, 64<\/li>\n\n\n\n<li><strong>Factors of 32:<\/strong> 1, 2, 4, 8, 16, 32<\/li>\n<\/ul>\n\n\n\n<p>Common factors: <strong>1, 2, 4, 8, 16<\/strong><br>Greatest one: <strong>16<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Optional: Prime Factorization Method<\/h3>\n\n\n\n<p>You can also use <strong>prime factorization<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>64 = 2\u2076<\/li>\n\n\n\n<li>48 = 2\u2074 \u00d7 3<\/li>\n\n\n\n<li>16 = 2\u2074<br>The smallest power of 2 common to all is <strong>2\u2074 = 16<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Similarly:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>48 = 2\u2074 \u00d7 3<\/li>\n\n\n\n<li>64 = 2\u2076<\/li>\n\n\n\n<li>32 = 2\u2075<br>The lowest power of 2 common to all is again <strong>2\u2074 = 16<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>In both cases, the <strong>GCF is 16<\/strong>, which is the largest number that evenly divides all numbers in each group. This process helps break down numbers to their simplest shared components.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>64, 48 and 16 GCF 48,64 and 32 GCF The correct answer and explanation is: Correct Answers: Explanation (300 words): The Greatest Common Factor (GCF) is the largest number that can evenly divide each of the numbers in a given set without leaving a remainder. Finding the GCF is helpful in simplifying fractions, solving problems [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-26108","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=26108"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26108\/revisions"}],"predecessor-version":[{"id":26110,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26108\/revisions\/26110"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}