What is the Greatest Common Factor of 6546 and 6564?

Greatest common factor (GCF) of 6546 and 6564 is 6.

GCF(6546,6564) = 6

We will now calculate the prime factors of 6546 and 6564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6546 and 6564.

How to find the GCF of 6546 and 6564?

We will first find the prime factorization of 6546 and 6564. After we will calculate the factors of 6546 and 6564 and find the biggest common factor number .

Step-1: Prime Factorization of 6546

Prime factors of 6546 are 2, 3, 1091. Prime factorization of 6546 in exponential form is:

6546 = 2¹ × 3¹ × 1091¹

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 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1, 2, 3, 6, 1091, 2182, 3273

Step-4: Factors of 6564

List of positive integer factors of 6564 that divides 6546 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 6546 and 6564. The biggest common factor number is the GCF number.
So the greatest common factor 6546 and 6564 is 6.

Also check out the Least Common Multiple of 6546 and 6564