# What is the GCF of 50 and 75?

GCF means the Greatest Common Factor of two or more numbers that can divide the given numbers exactly without any remainder.

## Answer: GCF of 50 and 75 is 25

Lets see how to find the GCF of 50 and 75

## Explanation:

We can find the GCF by the following methods:

- Prime factorization Method
- Listing the common factors method
- Long division Method

### GCF of 50 and 75 by Prime Factorization

Let us represent 50 and 75 as a product of its prime numbers:

Prime factorization of 50 is

2 × 5 × 5

Prime factorization of 75 is

3 × 5 × 5

Common factors = 5, 5

GCF is the product of the factors that are common to each of the given numbers.

GCF is 5 × 5 = 25

### GCF of 50 and 75 by Listing the Common Factors

The Common Factors of 50 and 75:

1, 5, and 25

The greatest common factor is 25

GCF of 3 and 6 is **25**