# What is the GCF of 49 and 98?

GCF (Greatest Common Factor) of 49 and 98 is the largest possible number which divides both 49 and 98 exactly.

## Answer: GCF of 49 and 98 is 49

Let's find the GCF of 49 and 98

## Explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

## Methods to Find GCF of 49 and 98

### GCF of 49 and 98 by Prime factorization

Prime factorization of 49: 7 × 7

Prime factorization of 98 : 2 x 7 x 7

The product of all common prime factors is the GCF of 49 and 98

Here common prime factor is 7 x 7 and hence GCF( 7, 21) is 7 x 7 = 49

### GCF of 49 and 98 by Listing the Common Factors

Factors of 49: 1, 7, 49

Factors of 98: 1, 2, 7, 14, 49, 98

Common Factors of 49 and 98: 1, 7, 49

The greatest common factor of 49 and 98 is 49

So, GCF of 49 and 98 is 49

Observe that irrespective of the methods, the answer to GCF of 49 and 98 is the same.