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What is the greatest common factor of 32 and 80?

Explanation

Start by finding the factors of 32: 1 and 32, 2 and 16, and 4 and 8. Now, find the factors of 80: 1 and 80, 2 and 40, 4 and 20, 5 and 16, and 8 and 10. The common factors are 1, 2, 4, 8, and 16. The greatest of the common factors is 16. As a shortcut, first get the factors of 32, and then use the outside to inside method for finding factors of 80. The first common factor that is the greater number of a pair of factors must be the GCF. In this case, the first pair is 1 and 80. 80 is not a common factor. The second pair is 2 and 40. 40 is not a common factor. The third pair is 4 and 20. 20 is not a common factor. The fifth pair is 5 and 16. Since 16 is a common factor, 16 is the GCF.

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