What is the Greatest Common Factor of 6561 and 6573?

Greatest common factor (GCF) of 6561 and 6573 is 3.

GCF(6561,6573) = 3

We will now calculate the prime factors of 6561 and 6573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6561 and 6573.

How to find the GCF of 6561 and 6573?

We will first find the prime factorization of 6561 and 6573. After we will calculate the factors of 6561 and 6573 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 6573

Prime factors of 6573 are 3, 7, 313. Prime factorization of 6573 in exponential form is:

6573 = 3¹ × 7¹ × 313¹

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 6573

List of positive integer factors of 6573 that divides 6561 without a remainder.

1, 3, 7, 21, 313, 939, 2191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6561 and 6573. The biggest common factor number is the GCF number.
So the greatest common factor 6561 and 6573 is 3.

Also check out the Least Common Multiple of 6561 and 6573