# What is the HCF of 14 and 15?

HCF of two numbers 14 and 15 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 14 and 15 is 1

Let us find HCF of 14 and 15

## Explanation:

The highest common factor(HCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also called the greatest common factor (GCF).

We will use the following two methods to find the HCF of 14 and 15.

- HCF of 14 and 15 by Prime factorization Method
- HCF of 14 and 15 by Listing Method

### Method 1: Find HCF of 14 and 15 by Prime Factorization

In this method, we express 14 and 15 as a product of its prime factors.

Prime factorization of 14 is 2 × 7

Prime factorization of 15 is 3 × 5

The common factor of 14 and 15 is 1

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

So, HCF of 14 and 15 is 1

### Method 2: HCF of 14 and 15 by Listing the Common Factors

In this method, we list all the factors of 14 and 15, then identify the common factors out of the list of factors.

The highest among the common factors is the HCF of 14 and 15.

Factors of 14 are **1, **2, 7, 14

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

There is only one common factor of 14 and 15 which is 1 itself.

This means the Highest common factor of 14 and 15 is 1

So, HCF of 14 and 15 is 1

Irrespective of the method, the HCF of 14 and 15 is the same. HCF is unique for a given set of numbers.