# What is GCF of 175 and 25?

The greatest or highest common factor of two numbers 175 and 25 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 175 and 25 is 25

Let us see how to find the GCF of 175 and 25

## Explanation:

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also called the highest common factor or the greatest common divisor.

Here 25 is itself a factor of 175. Therefore, the highest common factor for 25 and 175 is 25 itself.

### GCF of 175 and 25 by Long Division

- Step 1: Divide 175 by 25 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0

Irrespective of the method, the solution of GCF(175, 25) is the same.