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The greatest common factor of 42 and 45 is 3.

Method 1: Listing Factors List all the factors of both numbers and the highest factor that is the same is the greatest common factor.

Factors of 42: 1, 2, 3, 6, 7, 14, 21

Factors of 45: 1, 3, 5, 9, 15

The greatest common factor is 3.

Method 2: Prime Factorization

Find the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.

42=2*3*7

45=3*3*5

42 and 45 share one 3. Therefore, the greatest common factor is 3.

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8y ago

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