What is the Greatest Common Factor of 6591 and 6609?

Greatest common factor (GCF) of 6591 and 6609 is 3.

GCF(6591,6609) = 3

We will now calculate the prime factors of 6591 and 6609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6591 and 6609.

How to find the GCF of 6591 and 6609?

We will first find the prime factorization of 6591 and 6609. After we will calculate the factors of 6591 and 6609 and find the biggest common factor number .

Step-1: Prime Factorization of 6591

Prime factors of 6591 are 3, 13. Prime factorization of 6591 in exponential form is:

6591 = 3¹ × 13³

Step-2: Prime Factorization of 6609

Prime factors of 6609 are 3, 2203. Prime factorization of 6609 in exponential form is:

6609 = 3¹ × 2203¹

Step-3: Factors of 6591

List of positive integer factors of 6591 that divides 6591 without a remainder.

1, 3, 13, 39, 169, 507, 2197

Step-4: Factors of 6609

List of positive integer factors of 6609 that divides 6591 without a remainder.

1, 3, 2203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6591 and 6609. The biggest common factor number is the GCF number.
So the greatest common factor 6591 and 6609 is 3.

Also check out the Least Common Multiple of 6591 and 6609