What is the Greatest Common Factor of 8589 and 8604?

Greatest common factor (GCF) of 8589 and 8604 is 3.

GCF(8589,8604) = 3

We will now calculate the prime factors of 8589 and 8604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8589 and 8604.

How to find the GCF of 8589 and 8604?

We will first find the prime factorization of 8589 and 8604. After we will calculate the factors of 8589 and 8604 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 8604

Prime factors of 8604 are 2, 3, 239. Prime factorization of 8604 in exponential form is:

8604 = 2² × 3² × 239¹

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 8604

List of positive integer factors of 8604 that divides 8589 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8589 and 8604. The biggest common factor number is the GCF number.
So the greatest common factor 8589 and 8604 is 3.

Also check out the Least Common Multiple of 8589 and 8604