What is the Greatest Common Factor of 6589 and 6608?

Greatest common factor (GCF) of 6589 and 6608 is 1.

GCF(6589,6608) = 1

We will now calculate the prime factors of 6589 and 6608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6589 and 6608.

How to find the GCF of 6589 and 6608?

We will first find the prime factorization of 6589 and 6608. After we will calculate the factors of 6589 and 6608 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 6608

Prime factors of 6608 are 2, 7, 59. Prime factorization of 6608 in exponential form is:

6608 = 2⁴ × 7¹ × 59¹

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 6608

List of positive integer factors of 6608 that divides 6589 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6589 and 6608. The biggest common factor number is the GCF number.
So the greatest common factor 6589 and 6608 is 1.

Also check out the Least Common Multiple of 6589 and 6608