What are the greatest common factors of 9 and 25?

Answer 1

Answer:
The only common factor of 9 and 25 is 1.
The greatest common factor of 9 and 25 is 1.
Because 1 is the only common factor, the numbers are relatively prime.

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 9 are 1, 3, and 9.
The factors of 25 are 1, 5, and 25.
The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.

The common factors and greatest common factor can also be calculated by identifying the common prime factors and multiplying them together to identify the greatest common factor, and then taking all the factors of it to determine the common factors.
The prime factors of 9 are 3 and 3.
The prime factors of 25 are 5 and 5.
There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.