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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 14, 70, and 91 is 7.

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A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. 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 39 are 1, 3, 13, and 39. The factors of 91 are 1, 7, 13, and 91. The factors of 143 are 1, 11, 13, and 143. The common factors are 1 and 13. Therefore, the greatest common factor is 13.


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