What is the Greatest Common Factor of 98624 and 98631?

Greatest common factor (GCF) of 98624 and 98631 is 1.

GCF(98624,98631) = 1

We will now calculate the prime factors of 98624 and 98631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98624 and 98631.

How to find the GCF of 98624 and 98631?

We will first find the prime factorization of 98624 and 98631. After we will calculate the factors of 98624 and 98631 and find the biggest common factor number .

Step-1: Prime Factorization of 98624

Prime factors of 98624 are 2, 23, 67. Prime factorization of 98624 in exponential form is:

98624 = 2⁶ × 23¹ × 67¹

Step-2: Prime Factorization of 98631

Prime factors of 98631 are 3, 13, 281. Prime factorization of 98631 in exponential form is:

98631 = 3³ × 13¹ × 281¹

Step-3: Factors of 98624

List of positive integer factors of 98624 that divides 98624 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 67, 92, 134, 184, 268, 368, 536, 736, 1072, 1472, 1541, 2144, 3082, 4288, 6164, 12328, 24656, 49312

Step-4: Factors of 98631

List of positive integer factors of 98631 that divides 98624 without a remainder.

1, 3, 9, 13, 27, 39, 117, 281, 351, 843, 2529, 3653, 7587, 10959, 32877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98624 and 98631. The biggest common factor number is the GCF number.
So the greatest common factor 98624 and 98631 is 1.

Also check out the Least Common Multiple of 98624 and 98631