What is the Greatest Common Factor of 98631 and 98648?

Greatest common factor (GCF) of 98631 and 98648 is 1.

GCF(98631,98648) = 1

We will now calculate the prime factors of 98631 and 98648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98631 and 98648.

How to find the GCF of 98631 and 98648?

We will first find the prime factorization of 98631 and 98648. After we will calculate the factors of 98631 and 98648 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 98648

Prime factors of 98648 are 2, 11, 19, 59. Prime factorization of 98648 in exponential form is:

98648 = 2³ × 11¹ × 19¹ × 59¹

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 98648

List of positive integer factors of 98648 that divides 98631 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 59, 76, 88, 118, 152, 209, 236, 418, 472, 649, 836, 1121, 1298, 1672, 2242, 2596, 4484, 5192, 8968, 12331, 24662, 49324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98631 and 98648. The biggest common factor number is the GCF number.
So the greatest common factor 98631 and 98648 is 1.

Also check out the Least Common Multiple of 98631 and 98648