What is the Greatest Common Factor of 12543 and 12549?

Greatest common factor (GCF) of 12543 and 12549 is 3.

GCF(12543,12549) = 3

We will now calculate the prime factors of 12543 and 12549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12543 and 12549.

How to find the GCF of 12543 and 12549?

We will first find the prime factorization of 12543 and 12549. After we will calculate the factors of 12543 and 12549 and find the biggest common factor number .

Step-1: Prime Factorization of 12543

Prime factors of 12543 are 3, 37, 113. Prime factorization of 12543 in exponential form is:

12543 = 3¹ × 37¹ × 113¹

Step-2: Prime Factorization of 12549

Prime factors of 12549 are 3, 47, 89. Prime factorization of 12549 in exponential form is:

12549 = 3¹ × 47¹ × 89¹

Step-3: Factors of 12543

List of positive integer factors of 12543 that divides 12543 without a remainder.

1, 3, 37, 111, 113, 339, 4181

Step-4: Factors of 12549

List of positive integer factors of 12549 that divides 12543 without a remainder.

1, 3, 47, 89, 141, 267, 4183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12543 and 12549. The biggest common factor number is the GCF number.
So the greatest common factor 12543 and 12549 is 3.

Also check out the Least Common Multiple of 12543 and 12549