# What is the HCF of 120 and 150?

The greatest common factor or highest common factor (HCF) of 120 and 150 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 120 and 150 is 30

Let's find the HCF of 120 and 150

## Explanation:

We can find the GCF by the following methods

Methods to Find HCF of 120 and 150

- Listing the common factors method
- Long division Method

### Method 1: Determine HCF of 120 and 150 by Listing the Common Factors

The process of finding the highest common factor is that we list all the factors of 95 and 132, then identify the common factors. The highest among the common factors is the HCF of 95 and 132.

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150

Common Factors of 120 and 150: 1, 2, 3, 6, 10, 15, and 30.

Greatest common factor= 30

The highest common factor of 120 and 150 is 30.

### Method 2: Determine HCF of 120 and 150 by Long Division

Divide 150 by 120 and check the remainder. 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. Continue till you get the remainder as 0. The last divisor is your required HCF.

HCF of 120 and 150 is always 30. It is unique for a given set of numbers.