What is the Greatest Common Factor of 98572 and 98591?

Greatest common factor (GCF) of 98572 and 98591 is 19.

GCF(98572,98591) = 19

We will now calculate the prime factors of 98572 and 98591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98572 and 98591.

How to find the GCF of 98572 and 98591?

We will first find the prime factorization of 98572 and 98591. After we will calculate the factors of 98572 and 98591 and find the biggest common factor number .

Step-1: Prime Factorization of 98572

Prime factors of 98572 are 2, 19, 1297. Prime factorization of 98572 in exponential form is:

98572 = 2² × 19¹ × 1297¹

Step-2: Prime Factorization of 98591

Prime factors of 98591 are 19, 5189. Prime factorization of 98591 in exponential form is:

98591 = 19¹ × 5189¹

Step-3: Factors of 98572

List of positive integer factors of 98572 that divides 98572 without a remainder.

1, 2, 4, 19, 38, 76, 1297, 2594, 5188, 24643, 49286

Step-4: Factors of 98591

List of positive integer factors of 98591 that divides 98572 without a remainder.

1, 19, 5189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98572 and 98591. The biggest common factor number is the GCF number.
So the greatest common factor 98572 and 98591 is 19.

Also check out the Least Common Multiple of 98572 and 98591