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The greatest common factor of 28 and 126 is 14

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.

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8y ago
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12y ago

The factors of 28 are:

1, 2, 4, 7, 14, 28

The factors of 126 are:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The common factors are:

1, 2, 7, 14

The Greatest Common Factor (GCF) is:

14

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Q: What is the greatest common factor of 28 and 126?
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What are the common factors and greatest common factor of 126?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as ??, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 10 and 126 are 1 and 2; the greatest common factor is 2. The common factors of 28 and 126 are 1, 2, 7, and 14; the greatest common factor is 14.


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