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# What is the greatest common factor of 74 and 111?

Wiki User

2016-01-11 22:49:11

The greatest common factor of 74 and 111 is 37.

The common factors of 74 and 111 are 1 and 37.

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 74 are 1, 2, 37, and 74.

The factors of 111 are 1, 3, 37, and 111.

The common factors are 1 and 37. Therefore, the greatest common factor is 37.

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

The prime factors of 74 are 2 and 37.

The prime factors of 111 are 3 and 37.

The prime factors in common are a single 37, so the greatest common factor is 37.
The GCF is: 37

Wiki User

2016-01-11 22:49:11
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