# What is The HCF of 16 and 27?

HCF of two numbers 16 and 27 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 16 and 27 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 16 and 27

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

### HCF of 16 and 27 by Prime Factorization

In this method, we represent 16 and 27 as a product of its prime numbers

Prime factorization of 16 is 2 × 2 x 2 x 2

Prime factorization of 27 is 3 × 3 x 3

Common factor = 1

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

HCF (16,27) is 1

### HCF of 16 and 27 by Listing the Common Factors

In this method, we list all the factors of 16 and 27, then identify the common factors.

The highest among the common factors is the HCF of 16 and 27.

Common Factors of 16 and 27: 1.

Highest common factor= 1

HCF of 16 and 27 is 1

Irrespective of the method, the solution to our question HCF of 16 and 27 is the same.