What is the Greatest Common Factor of 8577 and 8589?

Greatest common factor (GCF) of 8577 and 8589 is 3.

GCF(8577,8589) = 3

We will now calculate the prime factors of 8577 and 8589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8577 and 8589.

How to find the GCF of 8577 and 8589?

We will first find the prime factorization of 8577 and 8589. After we will calculate the factors of 8577 and 8589 and find the biggest common factor number .

Step-1: Prime Factorization of 8577

Prime factors of 8577 are 3, 953. Prime factorization of 8577 in exponential form is:

8577 = 3² × 953¹

Step-2: Prime Factorization of 8589

Prime factors of 8589 are 3, 7, 409. Prime factorization of 8589 in exponential form is:

8589 = 3¹ × 7¹ × 409¹

Step-3: Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1, 3, 9, 953, 2859

Step-4: Factors of 8589

List of positive integer factors of 8589 that divides 8577 without a remainder.

1, 3, 7, 21, 409, 1227, 2863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8577 and 8589. The biggest common factor number is the GCF number.
So the greatest common factor 8577 and 8589 is 3.

Also check out the Least Common Multiple of 8577 and 8589