What is the Greatest Common Factor of 6561 and 6566?

Greatest common factor (GCF) of 6561 and 6566 is 1.

GCF(6561,6566) = 1

We will now calculate the prime factors of 6561 and 6566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6561 and 6566.

How to find the GCF of 6561 and 6566?

We will first find the prime factorization of 6561 and 6566. After we will calculate the factors of 6561 and 6566 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 6566

Prime factors of 6566 are 2, 7, 67. Prime factorization of 6566 in exponential form is:

6566 = 2¹ × 7² × 67¹

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 6566

List of positive integer factors of 6566 that divides 6561 without a remainder.

1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6561 and 6566. The biggest common factor number is the GCF number.
So the greatest common factor 6561 and 6566 is 1.

Also check out the Least Common Multiple of 6561 and 6566