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The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 13 and 52 is 13

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Q: What is the greatest common factor of 13 and 52?
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What is the greatest common factor of 39 and 52?

The GCF of 39 and 52 is 13 One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 39 are 1, 3, 13, and 39. The factors of 52 are 1, 2, 4, 13, 26, and 52. 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 39 are 3 and 13. The prime factors of 52 are 2, 2, and 13. The prime factors in common are a single 13, so the greatest common factor is 13.


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