What is the greatest common factor of 25 and 26?

Answer 1

The GCF of 25 and 26 is 1. The GCF of any two consecutive integers is 1.

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Method:

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 25 are 1, 5, and 25.

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

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

The greatest common factor is the highest number that divides exactly into two or more numbers.

25: 1, 5, 25

26: 1, 2, 13, 26

The GCF for 25 and 26 is 1.

The GCF of consecutive integers is 1.

Answer 2

You need at least two numbers before a common factor can be calculated.