What is the greatest common factor of 13 and 51?

Answer 1

The greatest common factor of 13 and 51 is 1.

The common factors of 13 and 51 are only the number 1.

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 13 are 1 and 13.

The factors of 51 are 1, 3, 17, and 51.

The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. To then obtain the common factors, list all the factors of the greatest common factor.

The prime factors of 13 are 1 and 13.

The prime factors of 51 are 3 and 17.

There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.