The prime factorizations of 54 and 72 are shown below.Prime factorization of 54: 2, 3, 3, 3Prime factorization of 72: 2, 2, 2, 3, 3Using the prime factorizations, what is the greatest common factor of 54 and 72?

To find the greatest common factor, multiply the prime factors that appear in both factorizations, using only the number of times each appears in both. Both 54 and 72 contain one factor of 2 and two factors of 3, so the GCF is 2 × 3 × 3 = 18. Choice B, 2 × 3 × 3, is correct.

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