What is the greatest common factor of 27 and 52?

Answer 1

Since the only factors of 27, other than 1, are multiples of 3, because 52 is not a multiple of 3, the greatest common factor must be 1.

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

The factors of 27 are 1, 3, 9, and 27.

The factors of 52 are 1, 2, 4, 13, 26, and 52.

The only common factor is 1. Therefore, the greatest common factor is 1.

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

The prime factors of 27 are 3, 3, and 3.

The prime factors of 52 are 2, 2, and 13.

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