# What is the HCF of 17 and 19?

HCF of two numbers 17 and 19 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 17 and 19 is 1

## Explanation:

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

We can find the HCF of the numbers in many ways the commonly used methods are listed below.

### Methods to Find HCF of 17 and 19

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

### Method 1: HCF of 17 and 19 by Prime Factorization

In this method, we represent 17 and 19 as a product of its prime numbers

Prime factorization of 17 is 17

Prime factorization of 19 is 1 19

17 and 19 are prime numbers. HCF of prime numbers is always 1.

HCF of 19 and 17 is 1

### Method 2: HCF of 17 and 19 by Listing the Common Factors

In this method, we list all the factors of 17 and 19, then identify the common factors.

The highest among the common factors is the HCF of 17 and 19.

Common Factors of 17 and 19: 1.

HCF of 17 and 19 is 1