# What is the GCF of 49 and 63?

The greatest number which divides the given numbers without any reminder is the Greatest Common Factor of the given numbers.

The GCF (greatest common factor) is also called as HCF - the highest common factor or GCD - the greates common divisor.

## Answer: GCF of 49 and 63 is 7

Two methods to find the GCF of 49 and 63 are explained below.

## Methods to Find GCF of 49 and 63

- Prime Factorization
- Long Division

### Method 1: GCF of 49 and 63 by Prime Factorization

GCF is the product of the factors that are common to each of the given numbers.

Prime factorization of 49 is 7 × 7

Prime factorization of 63 is 3 × 3 × 7

The occurrences of common prime factors of 49 and 63 is 7

Hence GCF(49, 63) = 7

### Method 2: GCF of 49 and 63 by Long Division

- Step 1: Divide the larger number by the smaller
- Step 2: Divide the dividend by the remainder obtained in step 1 and repeat this step until we get the remainder as 0
- Step 3: The last dividend is the GCF of the two numbers

We take the larger value 63 as dividend and smaller value 49 as divisor

We will get the GCF same for the given numbers by using different methods.