What is the greatest common factor of 65 and 213?

Answer 1

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 65 are 1, 5, 13, and 65.

The factors of 213 are 1, 3, 71, and 213.

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.

The prime factors of 65 are 5 and 13.

The prime factors of 213 are 3 and 71.

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