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Find GCF of two numbers with a Venn diagram

Find greatest common factor of two numbers with a Venn diagram

This skill teaches how to find the greatest common factor (GCF) of numbers using a Venn diagram. First, determine the prime factorization of each number, then arrange these factors in a Venn diagram, highlighting common factors in the intersection. The GCF is the product of these shared factors.

Learn find GCF of two numbers with a Venn diagram

Teaching Transcript

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Let's find the greatest common factor of 8, 12, and 20

First, find the prime factorization of each number

Now let's make a venn diagram of those factors, with the shared factors, 2 times 2, in the center, and the distinct factors in the non-overlapping part of the circle

The greatest common factor comes from the shared factors, so let's multiply 2 times 2. Our greatest common factor is 4

Skill Practice

Find greatest common factor of two numbers with a Venn diagram

Test your understanding of find GCF of two numbers with a Venn diagram by practicing it! Work through the below exercises to use it in practice.