What is the Greatest Common Factor of 49 and 98?

Greatest common factor (GCF) of 49 and 98 is 49.

GCF(49,98) = 49

We will now calculate the prime factors of 49 and 98, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49 and 98.

How to find the GCF of 49 and 98?

We will first find the prime factorization of 49 and 98. After we will calculate the factors of 49 and 98 and find the biggest common factor number .

Step-1: Prime Factorization of 49

Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:

49 = 7²

Step-2: Prime Factorization of 98

Prime factors of 98 are 2, 7. Prime factorization of 98 in exponential form is:

98 = 2¹ × 7²

Step-3: Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1, 7

Step-4: Factors of 98

List of positive integer factors of 98 that divides 49 without a remainder.

1, 2, 7, 14, 49

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49 and 98. The biggest common factor number is the GCF number.
So the greatest common factor 49 and 98 is 49.

Also check out the Least Common Multiple of 49 and 98