# What is the GCF of 10 and 12?

When you find all the factors of two or more numbers, and you find some factors are the same ("common"), the largest of those common factors is the Greatest Common Factor

## Answer: GCF of 10 and 12 is 2

Two methods to find the GCF of 10 and 12 are explained below.

## Methods to find GCF of 10 and 12

1. Listing the common factors method

2. Long division Method

### Method1: GCF of 10 and 12 by Listing the Common Factors

Below are the list of factors of 10 and 12

Common Factors of 10 and 12 are1, 2

Greatest common factor is 2

GCF of 10 and 12 is 2

### Method2: GCF of 10 and 12 by Long Division Method

- Step 1: Divide the two numbera i.e, 12 by 10 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
- Step 4: The divisor of the final step is the GCF of the given numbers.

GCF of 10 and 12 is 2

### Therefore, GCF of 10 and 12 is 2

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