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Q: When is the greatest common factor of a pair of numbers on of the numbers?

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That happens when one of the numbers is a factor of the other.

Any pair of prime numbers

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There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers.

A single number does not have a common factor. Common factors are factors that two or more numbers have in common. The greatest common factor of a pair of numbers over 50 could be any number, depending on the pair of numbers. The greatest common factor of 51 and 100 is 1. The greatest common factor of 51, 52, 53, 54, 55, and 56 is 1. The greatest common factor of 52 and 100 is 2. The greatest common factor of 57 and 102 is 3.

15 and 30

How about: 14 and 21

6 and 12

Any consecutive even numbers.

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.

15 and 30 is just one pair of number that has a greatest common factor of 15

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