What is the Greatest Common Factor of 98584 and 98596?

Greatest common factor (GCF) of 98584 and 98596 is 4.

GCF(98584,98596) = 4

We will now calculate the prime factors of 98584 and 98596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98584 and 98596.

How to find the GCF of 98584 and 98596?

We will first find the prime factorization of 98584 and 98596. After we will calculate the factors of 98584 and 98596 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 98596

Prime factors of 98596 are 2, 157. Prime factorization of 98596 in exponential form is:

98596 = 2² × 157²

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 98596

List of positive integer factors of 98596 that divides 98584 without a remainder.

1, 2, 4, 157, 314, 628, 24649, 49298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98584 and 98596. The biggest common factor number is the GCF number.
So the greatest common factor 98584 and 98596 is 4.

Also check out the Least Common Multiple of 98584 and 98596