What is the Greatest Common Factor of 6561 and 6565?

Greatest common factor (GCF) of 6561 and 6565 is 1.

GCF(6561,6565) = 1

We will now calculate the prime factors of 6561 and 6565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6561 and 6565.

How to find the GCF of 6561 and 6565?

We will first find the prime factorization of 6561 and 6565. After we will calculate the factors of 6561 and 6565 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 6565

Prime factors of 6565 are 5, 13, 101. Prime factorization of 6565 in exponential form is:

6565 = 5¹ × 13¹ × 101¹

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 6565

List of positive integer factors of 6565 that divides 6561 without a remainder.

1, 5, 13, 65, 101, 505, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6561 and 6565. The biggest common factor number is the GCF number.
So the greatest common factor 6561 and 6565 is 1.

Also check out the Least Common Multiple of 6561 and 6565