What is the Greatest Common Factor of 98584 and 98591?

Greatest common factor (GCF) of 98584 and 98591 is 1.

GCF(98584,98591) = 1

We will now calculate the prime factors of 98584 and 98591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98584 and 98591.

How to find the GCF of 98584 and 98591?

We will first find the prime factorization of 98584 and 98591. After we will calculate the factors of 98584 and 98591 and find the biggest common factor number .

Step-1: Prime Factorization of 98584

Prime factors of 98584 are 2, 12323. Prime factorization of 98584 in exponential form is:

98584 = 2³ × 12323¹

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 98584

List of positive integer factors of 98584 that divides 98584 without a remainder.

1, 2, 4, 8, 12323, 24646, 49292

Step-4: Factors of 98591

List of positive integer factors of 98591 that divides 98584 without a remainder.

1, 19, 5189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98584 and 98591. The biggest common factor number is the GCF number.
So the greatest common factor 98584 and 98591 is 1.

Also check out the Least Common Multiple of 98584 and 98591