# What is The HCF of 144 180 and 192?

The greatest common factor or HCF (highest common factor) of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: HCF of 144, 180 and 192 is 12

## Explanation:

We can find the HCF by the following methods

- Prime factorization Method
- Long division Method

### Find HCF of 144 and 180 by Prime Factorization

Let us represent 144 and 180 as a product of its prime numbers

Prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3

Prime factorization of 24 is 2 × 2 × 3 × 3 × 5

Common factors = 2 × 2 × 3 × 3

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

HCF is 36.

### HCF of 144 and 180 by Long Division

- Step 1: Divide 180 by 144 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0

We can calculate the HCF in any of the above methods but the solution will be the same. It is independent of the procedure.