What is the Greatest Common Factor of 6564 and 6584?

Greatest common factor (GCF) of 6564 and 6584 is 4.

GCF(6564,6584) = 4

We will now calculate the prime factors of 6564 and 6584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6564 and 6584.

How to find the GCF of 6564 and 6584?

We will first find the prime factorization of 6564 and 6584. After we will calculate the factors of 6564 and 6584 and find the biggest common factor number .

Step-1: Prime Factorization of 6564

Prime factors of 6564 are 2, 3, 547. Prime factorization of 6564 in exponential form is:

6564 = 2² × 3¹ × 547¹

Step-2: Prime Factorization of 6584

Prime factors of 6584 are 2, 823. Prime factorization of 6584 in exponential form is:

6584 = 2³ × 823¹

Step-3: Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282

Step-4: Factors of 6584

List of positive integer factors of 6584 that divides 6564 without a remainder.

1, 2, 4, 8, 823, 1646, 3292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6564 and 6584. The biggest common factor number is the GCF number.
So the greatest common factor 6564 and 6584 is 4.

Also check out the Least Common Multiple of 6564 and 6584