# What is the GCF of 39 and 13?

Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 39 and 13 is 13

Two methods to find the GCF of 39 and 13 are explained below.

## Methods to find GCF of 39 and 13

Following are the different ways listed to calculate the GCF of 39 and 13

a) Listing the common factors method

b) Long division Method

### Method1: GCF of 39 and 13 by Listing the Common Factors

Hence, the common factors of 39 and 13 are 1, 13

Greatest common factor is 13

GCF of 39 and 13 is 13

### Method2: GCF of 39 and 13 by Long Division Method

Step 1: Divide 39 by 13 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.

Thus, the divisor of the last step is 13 which becomes the greatest common factor of 39 and 13

GCF of 39 and 13 is 13