What is the Greatest Common Factor of 6561 and 6567?

Greatest common factor (GCF) of 6561 and 6567 is 3.

GCF(6561,6567) = 3

We will now calculate the prime factors of 6561 and 6567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6561 and 6567.

How to find the GCF of 6561 and 6567?

We will first find the prime factorization of 6561 and 6567. After we will calculate the factors of 6561 and 6567 and find the biggest common factor number .

Step-1: Prime Factorization of 6561

Prime factors of 6561 are 3. Prime factorization of 6561 in exponential form is:

6561 = 3⁸

Step-2: Prime Factorization of 6567

Prime factors of 6567 are 3, 11, 199. Prime factorization of 6567 in exponential form is:

6567 = 3¹ × 11¹ × 199¹

Step-3: Factors of 6561

List of positive integer factors of 6561 that divides 6561 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187

Step-4: Factors of 6567

List of positive integer factors of 6567 that divides 6561 without a remainder.

1, 3, 11, 33, 199, 597, 2189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6561 and 6567. The biggest common factor number is the GCF number.
So the greatest common factor 6561 and 6567 is 3.

Also check out the Least Common Multiple of 6561 and 6567