What is the Greatest Common Factor of 98589 and 98598?

Greatest common factor (GCF) of 98589 and 98598 is 3.

GCF(98589,98598) = 3

We will now calculate the prime factors of 98589 and 98598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98589 and 98598.

How to find the GCF of 98589 and 98598?

We will first find the prime factorization of 98589 and 98598. After we will calculate the factors of 98589 and 98598 and find the biggest common factor number .

Step-1: Prime Factorization of 98589

Prime factors of 98589 are 3, 59, 557. Prime factorization of 98589 in exponential form is:

98589 = 3¹ × 59¹ × 557¹

Step-2: Prime Factorization of 98598

Prime factors of 98598 are 2, 3, 16433. Prime factorization of 98598 in exponential form is:

98598 = 2¹ × 3¹ × 16433¹

Step-3: Factors of 98589

List of positive integer factors of 98589 that divides 98589 without a remainder.

1, 3, 59, 177, 557, 1671, 32863

Step-4: Factors of 98598

List of positive integer factors of 98598 that divides 98589 without a remainder.

1, 2, 3, 6, 16433, 32866, 49299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98589 and 98598. The biggest common factor number is the GCF number.
So the greatest common factor 98589 and 98598 is 3.

Also check out the Least Common Multiple of 98589 and 98598