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One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

The factors of 65 are 1, 5, 13, and 65.

The only common factor is 1. Therefore, the greatest common factor is 1; the numbers are relatively prime.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 42 are 2, 3, and 7.

The prime factors of 65 are 5 and 13.

There are no prime factors in common, so the numbers are relatively prime, meaning th greatest common factor is 1. Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42

Factors of 65 are 1, 5, 13, and 65

The GCF is 1.

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Find the greater number 65 42

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Sandra Woods

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Q: What is the greatest common factor of 42 and 65?
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