# What is the GCF of 10 and 50?

GCF (Greatest Common Factor) of 10 and 50 is the largest possible number which divides both 10 and 50 exactly.

## Answer: GCF of 10 and 50 is 10

Let's find the GCF of 10 and 50

## Explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

## Methods to Find GCF of 10 and 50

### GCF of 10 and 50 by Listing the Common Factors

Factors of 10: 1, 2, 5, 10

Factors of 50: 1, 2, 5, 10, 25, 50

Common Factors of 10 and 50: 1, 2, 5, 10

The greatest common factor is 10

This means the GCF of 10 and 50 is 10

### GCF of 10 and 50 by Prime Factorization

Let us represent 10 and 50 as a product of its prime factors.

Prime factorization of 10 is 2 × 5

Prime factorization of 50 is 2 × 5 × 5

The common prime factors are 2 and 5

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

GCF of 10 and 50 is 10

You can find the GCF in any of the above methods but the solution will be the same.