What is the Greatest Common Factor of 6543 and 6549?

Greatest common factor (GCF) of 6543 and 6549 is 3.

GCF(6543,6549) = 3

We will now calculate the prime factors of 6543 and 6549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6543 and 6549.

How to find the GCF of 6543 and 6549?

We will first find the prime factorization of 6543 and 6549. After we will calculate the factors of 6543 and 6549 and find the biggest common factor number .

Step-1: Prime Factorization of 6543

Prime factors of 6543 are 3, 727. Prime factorization of 6543 in exponential form is:

6543 = 3² × 727¹

Step-2: Prime Factorization of 6549

Prime factors of 6549 are 3, 37, 59. Prime factorization of 6549 in exponential form is:

6549 = 3¹ × 37¹ × 59¹

Step-3: Factors of 6543

List of positive integer factors of 6543 that divides 6543 without a remainder.

1, 3, 9, 727, 2181

Step-4: Factors of 6549

List of positive integer factors of 6549 that divides 6543 without a remainder.

1, 3, 37, 59, 111, 177, 2183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6543 and 6549. The biggest common factor number is the GCF number.
So the greatest common factor 6543 and 6549 is 3.

Also check out the Least Common Multiple of 6543 and 6549