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Find the greatest common factor of 38 and 12.

Answer

3

1

12

2

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To find the greatest common factor (GCF) of 38 and 12, you first list the factors of both numbers. The factors of 38 are 1, 2, 19, and 38, while the factors of 12 include 1, 2, 3, 4, 6, and 12. The greatest number that appears in both lists is 2, making it the GCF.

Common mistakes when finding the GCF often arise from either overlooking the definition of a factor or skipping the step of listing out the factors. Instead of listing, some might jump to conclusions by using prime factorization. While that method works, it’s crucial to ensure you perform each step carefully to avoid overlooking factors. Happy factoring!