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Find GCF of two numbers

Find greatest common factor of two numbers

This math skill teaches how to find the greatest common factor (GCF) of two numbers by identifying and multiplying their shared prime factors.

Learn find GCF of two numbers

Teaching Transcript

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Let's find the greatest common factor of 12 and 18

First we find the prime factors of both. 12 has prime factors of 2, 3, and 2. 18 has prime factors of 3, 3, and 2

Now we can identify the full list of shared factors. In this case, that's 3 and 2

The greatest common factor is these factors multiplied together. So the greatest common factor of 12 and 18 is 6

Skill Practice

Find greatest common factor of two numbers

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