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# What is the greatest common factor of 54 and 26?

Updated: 12/11/2022

Wiki User

9y ago

The greatest common factor of 26 and 54 is 2.

The common factors of 26 and 54 are 1 and 2.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

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 26 are 1, 2, 13, and 26.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 26 are 2 and 13.

The prime factors of 54 are 2, 3, 3, and 3.

The prime factors in common are a single 2, so the greatest common factor is 2.

Wiki User

6y ago

Wiki User

9y ago

The GCF is 2.

Wiki User

6y ago

GCF(26, 54) = 2.

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Q: What is the greatest common factor of 54 and 26?
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