What is the Greatest Common Factor of 98579 and 98589?

Greatest common factor (GCF) of 98579 and 98589 is 1.

GCF(98579,98589) = 1

We will now calculate the prime factors of 98579 and 98589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98579 and 98589.

How to find the GCF of 98579 and 98589?

We will first find the prime factorization of 98579 and 98589. After we will calculate the factors of 98579 and 98589 and find the biggest common factor number .

Step-1: Prime Factorization of 98579

Prime factors of 98579 are 13, 7583. Prime factorization of 98579 in exponential form is:

98579 = 13¹ × 7583¹

Step-2: 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-3: Factors of 98579

List of positive integer factors of 98579 that divides 98579 without a remainder.

1, 13, 7583

Step-4: Factors of 98589

List of positive integer factors of 98589 that divides 98579 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98579 and 98589. The biggest common factor number is the GCF number.
So the greatest common factor 98579 and 98589 is 1.

Also check out the Least Common Multiple of 98579 and 98589