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Answer: 14

Definition: 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 the numbers have in common.

Method:

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 14 are 1, 2, 7, and 14.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

The common factors are 1, 2, 7, and 14 and 14. Therefore, the greatest common factor is 14.
The factors of 14 are:

1, 2, 7, 14

The factors of 84 are:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The common factors are:

1, 2, 7, 14

The Greatest Common Factor (GCF) is:

14
Since 14 is a factor of 84, it is automatically the GCF.

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9y ago
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Wiki User

12y ago

GCF(84, 14) = 14

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Q: What is the greatest common factor of 14 and 84?
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