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The factors of 51 are 1, 3, 17, and 51.

The factors of 119 are 1, 7, 17, and 119.

The factors they have in common are 1 and 17. Therefore the greatest common factor is 17.

The greatest common factor can also be determined from the prime factors.

The prime factors of 51 are 3 and 17.

The prime factors of 119 are 7 and 17.

The prime factors they have in common are a single 17, so the greatest common factor is 17.

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Q: What is the greatest common factor of 51 and 119?
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