What is the Greatest Common Factor of 6609 and 6624?

Greatest common factor (GCF) of 6609 and 6624 is 3.

GCF(6609,6624) = 3

We will now calculate the prime factors of 6609 and 6624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6609 and 6624.

How to find the GCF of 6609 and 6624?

We will first find the prime factorization of 6609 and 6624. After we will calculate the factors of 6609 and 6624 and find the biggest common factor number .

Step-1: Prime Factorization of 6609

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

6609 = 3¹ × 2203¹

Step-2: Prime Factorization of 6624

Prime factors of 6624 are 2, 3, 23. Prime factorization of 6624 in exponential form is:

6624 = 2⁵ × 3² × 23¹

Step-3: Factors of 6609

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

1, 3, 2203

Step-4: Factors of 6624

List of positive integer factors of 6624 that divides 6609 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6609 and 6624. The biggest common factor number is the GCF number.
So the greatest common factor 6609 and 6624 is 3.

Also check out the Least Common Multiple of 6609 and 6624