What is the Greatest Common Factor of 6589 and 6604?

Greatest common factor (GCF) of 6589 and 6604 is 1.

GCF(6589,6604) = 1

We will now calculate the prime factors of 6589 and 6604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6589 and 6604.

How to find the GCF of 6589 and 6604?

We will first find the prime factorization of 6589 and 6604. After we will calculate the factors of 6589 and 6604 and find the biggest common factor number .

Step-1: Prime Factorization of 6589

Prime factors of 6589 are 11, 599. Prime factorization of 6589 in exponential form is:

6589 = 11¹ × 599¹

Step-2: Prime Factorization of 6604

Prime factors of 6604 are 2, 13, 127. Prime factorization of 6604 in exponential form is:

6604 = 2² × 13¹ × 127¹

Step-3: Factors of 6589

List of positive integer factors of 6589 that divides 6589 without a remainder.

1, 11, 599

Step-4: Factors of 6604

List of positive integer factors of 6604 that divides 6589 without a remainder.

1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6589 and 6604. The biggest common factor number is the GCF number.
So the greatest common factor 6589 and 6604 is 1.

Also check out the Least Common Multiple of 6589 and 6604