What is the Greatest Common Factor of 98631 and 98646?

Greatest common factor (GCF) of 98631 and 98646 is 3.

GCF(98631,98646) = 3

We will now calculate the prime factors of 98631 and 98646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98631 and 98646.

How to find the GCF of 98631 and 98646?

We will first find the prime factorization of 98631 and 98646. After we will calculate the factors of 98631 and 98646 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98646

Prime factors of 98646 are 2, 3, 41, 401. Prime factorization of 98646 in exponential form is:

98646 = 2¹ × 3¹ × 41¹ × 401¹

Step-3: Factors of 98631

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

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

Step-4: Factors of 98646

List of positive integer factors of 98646 that divides 98631 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 401, 802, 1203, 2406, 16441, 32882, 49323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98631 and 98646. The biggest common factor number is the GCF number.
So the greatest common factor 98631 and 98646 is 3.

Also check out the Least Common Multiple of 98631 and 98646