What is the Greatest Common Factor of 6555 and 6561?

Greatest common factor (GCF) of 6555 and 6561 is 3.

GCF(6555,6561) = 3

We will now calculate the prime factors of 6555 and 6561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6555 and 6561.

How to find the GCF of 6555 and 6561?

We will first find the prime factorization of 6555 and 6561. After we will calculate the factors of 6555 and 6561 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 6561

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

6561 = 3⁸

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 6561

List of positive integer factors of 6561 that divides 6555 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6555 and 6561. The biggest common factor number is the GCF number.
So the greatest common factor 6555 and 6561 is 3.

Also check out the Least Common Multiple of 6555 and 6561