What is the Greatest Common Factor of 98312 and 98328?

Greatest common factor (GCF) of 98312 and 98328 is 8.

GCF(98312,98328) = 8

We will now calculate the prime factors of 98312 and 98328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98312 and 98328.

How to find the GCF of 98312 and 98328?

We will first find the prime factorization of 98312 and 98328. After we will calculate the factors of 98312 and 98328 and find the biggest common factor number .

Step-1: Prime Factorization of 98312

Prime factors of 98312 are 2, 12289. Prime factorization of 98312 in exponential form is:

98312 = 2³ × 12289¹

Step-2: Prime Factorization of 98328

Prime factors of 98328 are 2, 3, 17, 241. Prime factorization of 98328 in exponential form is:

98328 = 2³ × 3¹ × 17¹ × 241¹

Step-3: Factors of 98312

List of positive integer factors of 98312 that divides 98312 without a remainder.

1, 2, 4, 8, 12289, 24578, 49156

Step-4: Factors of 98328

List of positive integer factors of 98328 that divides 98312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 241, 408, 482, 723, 964, 1446, 1928, 2892, 4097, 5784, 8194, 12291, 16388, 24582, 32776, 49164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98312 and 98328. The biggest common factor number is the GCF number.
So the greatest common factor 98312 and 98328 is 8.

Also check out the Least Common Multiple of 98312 and 98328