What is the Greatest Common Factor of 98676 and 98684?

Greatest common factor (GCF) of 98676 and 98684 is 4.

GCF(98676,98684) = 4

We will now calculate the prime factors of 98676 and 98684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98676 and 98684.

How to find the GCF of 98676 and 98684?

We will first find the prime factorization of 98676 and 98684. After we will calculate the factors of 98676 and 98684 and find the biggest common factor number .

Step-1: Prime Factorization of 98676

Prime factors of 98676 are 2, 3, 2741. Prime factorization of 98676 in exponential form is:

98676 = 2² × 3² × 2741¹

Step-2: Prime Factorization of 98684

Prime factors of 98684 are 2, 24671. Prime factorization of 98684 in exponential form is:

98684 = 2² × 24671¹

Step-3: Factors of 98676

List of positive integer factors of 98676 that divides 98676 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2741, 5482, 8223, 10964, 16446, 24669, 32892, 49338

Step-4: Factors of 98684

List of positive integer factors of 98684 that divides 98676 without a remainder.

1, 2, 4, 24671, 49342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98676 and 98684. The biggest common factor number is the GCF number.
So the greatest common factor 98676 and 98684 is 4.

Also check out the Least Common Multiple of 98676 and 98684