# What is the HCF of 10 and 15?

HCF of two numbers 10 and 15 is the largest number which divides both the numbers exactly.

## Answer: HCF of 10 and 15 is 5

Let's find the HCF of 10 and 15

## Explanation:

The highest common factor of 10 and 15 is the largest possible number which divides both the numbers exactly without any remainder.

We will use the following two methods to find the HCF of 10 and 15.

- HCF of 10 and 15 by Prime factorization Method
- HCF of 10 and 15 by Listing Method

### Method 1: Find HCF of 10 and 15 by Prime Factorization

In this method, we represent 10 and 15 as a product of its prime factors.

Prime factorization of 10 is 2 × 5

Prime factorization of 15 is 3 × 5

The common factor in the prime factorization of 10 and 15 is 5

HCF is the product of the common factors of the given numbers.

So, the HCF (10, 15) is 5

### Method 2: HCF of 10 and 15 by Listing the Common Factors

In this method, we list all the factors of 10 and 15, then identify the common factors.

Factors of 10 are **1, **2, 5, 10

Factors of 15 are **1,** 3, 5, 15

The common factors of 10 and 15 are 1 and 5.

The highest common factor of 10 and 15 is 5