What is the greatest common factor of 8 and 17?

Answer 1

The factors of 8 are 1, 2, 4, and 8.

The factors of 17 are 1 and 17, since it is a Prime number.

The only common factor is 1. Therefore, 1 is the greatest common factor, which means 8 and 17 are relatively prime.

Since one of the numbers is a prime number (in this case 17) and the other number (in this case 8) is not a multiple of it, there cannot be a common factor other than 1. The two numbers will be relatively prime.

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

The prime factors of 8 are 2, 2, and 2.

The prime factors of 17 are 17.

There are no common prime factors, which means the two numbers are relatively prime, so their greatest common factor is 1.
The GCF is 1.