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To find the greatest common factor of a set of numbers, do a prime factorization of each one, then multiply the prime factors that the numbers have in common.

The prime factorization of 54 is: 2 x 3 x 3 x 3

The prime factorization of 81 is: 3 x 3 x 3 x 3

The prime factorization of 135 is: 3 x 3 x 3 x 5

All three numbers have three 3's in common as prime factors, so the GCF of all three numbers is: 3 x 3 x 3 = 27.

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Q: What is the greatest common factor of 54 81 and 135?
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