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# What is the greatest common factor of 56 and 196?

Updated: 4/28/2022

Wiki User

8y ago

Best Answer

Answer: 28

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 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196.

The common factors are 1, 2, 4, 7, 14, and 28. Therefore, the greatest common factor is 28.
28

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### What is the greatest common factor of 56 196 and 252?

The GCF of 56, 196 and 252 is 28.

The GCF is 28.

The GCF is 28.

### What is the greatest common factor of 196?

There is neither a greatest common factor nor common factors of a single number, such as 196 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. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The prime factors of 196 are 2, 2, 7, and 7. Examples: The common factors of 32 and 196 are 1, 2, and 4; the greatest common factor is 4. The common factors of 50 and 196 are 1 and 2; the greatest common factor is 2. The common factors of 56 and 196 are 1, 2, 4, 7, 14, and 28; the greatest common factor is 28.

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