# What is the GCF of 12 and 13?

GCF of two numbers 12 and 13 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 12 and 13 is 1

Let us find GCF of 12 and 13

## Explanation:

The greatest common factor (GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also called the highest common factor(HCF).

We will use the following two methods to find the GCF of 12 and 13.

- GCF of 12 and 13 by Long Division Method
- GCF of 12 and 13 by Listing Method

### Method 1: Find GCF of 12 and 13 by Long Division

Step 1: Divide 13 by 12 and check the remainder.

Step 2: Make the remainder of the above step (1) as the divisor and the divisor of the above step (12) as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor of the process is the GCF of 12 and 13

### Method 2: Find GCF of 12 and 13 by Listing the Common Factors

In this method, we list all the factors of 12 and 13, then identify the common factors.

The highest among the common factors is the GCF of 12 and 13.

The factors of 12 are 1, 2, 3, 4, 6 and 12

The factors of 13 are 1 and 13.

Common Factors of 12 and 13: 1.

The greatest common factor of 12 and 13 is 1

GCF of 12 and 13 is 1

Actually, the GCF of any two consecutive numbers is always 1.