# What is the GCF of 25 and 40?

Greatest Common Factor of 25 and 40 is the largest possible number which divides 25 and 40 exactly without any remainder.

## Answer: GCF of 25 and 40 is 5

## Explanation:

Two methods to find the GCF of 25 and 40 are explained below.

## Methods to find GCF of 25 and 40

We can calculate the greatest common factor(GCF), by the following methods

- Long division Method
- Listing the common factors method

### GCF of 25 and 40 by Long Division

**Step 1: **Divide 40 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

### GCF of 25 and 40 by Listing the Common Factors

The two common factors of 25 and 40 are 1 and 5

The greatest common factor of 25 and 40 is 5

Clearly, by both the methods we get the same answer, that is, GCF (25, 40) = 5