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The GCF of 420, 735, and 945 is 105.

The prime factorization of 420 is 2x2x3x5x7

The prime factorization of 735 is 3x5x7x7

The prime factorization of 945 is 3x3x3x5x7

(1) List the prime factors of each number.

(2) Multiply those factors all numbers in the set have in common. If there are no common prime factors, the GCF is 1. (Those factors are the ones in bold type.)

As you can see the GCF is 3x5x7 or 105

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Anonymous

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Q: What is the greatest common factor of 420 735 and 945?
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