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# What is the greatest common factor of 119 and 391?

Wiki User

2009-01-21 12:50:31

Answer: GCF of 119 and 391 is 17. One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

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

The factors of 391 are 1, 17, 23, and 391

The common factors are 1 and 17. Therefore, the greatest common factor is 17.

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

The prime factors of 119 are 7 and 17.

The prime factors of 391 are 17 and 23.

The prime factors in common are a single 17, so the greatest common factor is 17. Once you determine that there are only two prime factors for 119, the easiest way to determine the greatest common factor is to check whether 391 is evenly divided by either 17 or 7, rather than determining the prime factors of 391, too.

Wiki User

2009-01-21 12:50:31
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