# What is the GCF of 21 and 63?

GCF of two numbers 21 and 63 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 21 and 63 is 21

Let us see how to find the GCF of 21 and 63

## Explanation:

The greatest common factor or the highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

### Find GCF of 21 and 63 by Long Division

Divide 63 by 21 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

Another perspective of this question is that 21 is itself a factor of 63. So, by the definition of GCF, 21 is the solution for GCF(21, 63).