What is the Greatest Common Factor of 6555 and 6564?

Greatest common factor (GCF) of 6555 and 6564 is 3.

GCF(6555,6564) = 3

We will now calculate the prime factors of 6555 and 6564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6555 and 6564.

How to find the GCF of 6555 and 6564?

We will first find the prime factorization of 6555 and 6564. After we will calculate the factors of 6555 and 6564 and find the biggest common factor number .

Step-1: Prime Factorization of 6555

Prime factors of 6555 are 3, 5, 19, 23. Prime factorization of 6555 in exponential form is:

6555 = 3¹ × 5¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 6555

List of positive integer factors of 6555 that divides 6555 without a remainder.

1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185

Step-4: Factors of 6564

List of positive integer factors of 6564 that divides 6555 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6555 and 6564. The biggest common factor number is the GCF number.
So the greatest common factor 6555 and 6564 is 3.

Also check out the Least Common Multiple of 6555 and 6564