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The greatest common factor of 52 and 117 is 13.

The common factors of 52 and 117 are 1 and 13.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

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

The factors of 52 are 1, 2, 4, 13, 26, and 52.

The factors of 117 are 1, 3, 9, 13, 39, and 117.

The common factors are 1 and 13. Therefore, the greatest common factor is 13.

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

The prime factors of 52 are 2, 2, and 13.

The prime factors of 117 are 3, 3, and 13.

The prime factors in common are only 13, so the greatest common factor is 13.

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Q: What is the greatest common factor of 52 and 21?

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To find the greatest common factor (GCF) of 26, 39, and 52, we need to identify the common factors of these numbers. The factors of 26 are 1, 2, 13, and 26. The factors of 39 are 1, 3, 13, and 39. The factors of 52 are 1, 2, 4, 13, 26, and 52. The greatest common factor among these numbers is 13, as it is the largest number that divides all three numbers without leaving a remainder.

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