# What is the GCF of 12 and 30?

The greatest common factor, also known as the greatest common divisor, of two (or more) non-zero integers **a** and **b**, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a, b).

## Answer: GCF of 12 and 30 is 6

Two methods to find the GCF of 12 and 30 are explained below.

## Methods to find the GCF of 12 and 30

- GCF of 12 and 30 by common factors
- GCF of 12 and 30 by Long Division

### Method1: GCF of 12 and 30 by Listing the Common Factors

The Common Factors of 12 and 30 are 1, 2, 3,4,6

Greatest common factor is 6

GCF of 12 and 30 is 6

### Method2: GCF of 12 and 30 by Long Division

- Step 1: Let's divide 30 by 12 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 remainder as 0 and the divisor of the last step will be the HCF