What is the Greatest Common Factor of 98584 and 98588?

Greatest common factor (GCF) of 98584 and 98588 is 4.

GCF(98584,98588) = 4

We will now calculate the prime factors of 98584 and 98588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98584 and 98588.

How to find the GCF of 98584 and 98588?

We will first find the prime factorization of 98584 and 98588. After we will calculate the factors of 98584 and 98588 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 98588

Prime factors of 98588 are 2, 7, 503. Prime factorization of 98588 in exponential form is:

98588 = 2² × 7² × 503¹

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 98588

List of positive integer factors of 98588 that divides 98584 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 503, 1006, 2012, 3521, 7042, 14084, 24647, 49294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98584 and 98588. The biggest common factor number is the GCF number.
So the greatest common factor 98584 and 98588 is 4.

Also check out the Least Common Multiple of 98584 and 98588