What is the Greatest Common Factor of 8589 and 8596?

Greatest common factor (GCF) of 8589 and 8596 is 7.

GCF(8589,8596) = 7

We will now calculate the prime factors of 8589 and 8596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8589 and 8596.

How to find the GCF of 8589 and 8596?

We will first find the prime factorization of 8589 and 8596. After we will calculate the factors of 8589 and 8596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8596

Prime factors of 8596 are 2, 7, 307. Prime factorization of 8596 in exponential form is:

8596 = 2² × 7¹ × 307¹

Step-3: Factors of 8589

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

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

Step-4: Factors of 8596

List of positive integer factors of 8596 that divides 8589 without a remainder.

1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8589 and 8596. The biggest common factor number is the GCF number.
So the greatest common factor 8589 and 8596 is 7.

Also check out the Least Common Multiple of 8589 and 8596