# What is the GCF of 15 and 50?

GCF of 15 and 50 is the greatest possible number which divides both 15 and 50 exactly.

## Answer: GCF of 15 and 50 is 5

We will explain two methods to find the greatest common factor of 15 and 50.

## Explanation

The greatest common factor of two numbers x and y is defined to be the largest number that divides x and y leaving 0 as the remainder.

- Listing the Factors to find GCF of 15 and 50
- Prime factorization to find GCF of 15 and 50

### Method 1: GCF of 15 and 50 by Listing the Common Factors

Let us list the factors and identify the greatest among the common factors of 15 and 50.

Common Factors of 15 and 50: 1, 5

Since the greatest common factor is 5, the GCF of 15 and 50 is 5

So, GCF of 15 and 50 is 5

### Method 2: GCF of 15 and 50 by prime factorization

Prime factorization of 15: 5 × 3

Prime factorization of 50: 5 × 5 × 2

The product of all common prime factors is the GCF of 15 and 50

Here, the common prime factor is 5 and hence GCF(15, 50) is 5

### Therefore, GCF of 15 and 50 is 5

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