The prime factorizations of 16 and 24 are shown below.Prime factorization of 16: 2, 2, 2, 2Prime factorization of 24: 2, 2, 2, 3Using the prime factorizations, what is the greatest common factor of 16 and 24?

The greatest common factor uses the prime factors that appear in both factorizations, counted only as many times as they appear in the shorter list. Both 16 and 24 have three factors of 2 in common, so the GCF is 2 × 2 × 2 = 8. The correct choice is 2 × 2 × 2.

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