What is the Greatest Common Factor of 18549 and 18561?

Greatest common factor (GCF) of 18549 and 18561 is 3.

GCF(18549,18561) = 3

We will now calculate the prime factors of 18549 and 18561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18549 and 18561.

How to find the GCF of 18549 and 18561?

We will first find the prime factorization of 18549 and 18561. After we will calculate the factors of 18549 and 18561 and find the biggest common factor number .

Step-1: Prime Factorization of 18549

Prime factors of 18549 are 3, 229. Prime factorization of 18549 in exponential form is:

18549 = 3⁴ × 229¹

Step-2: Prime Factorization of 18561

Prime factors of 18561 are 3, 23, 269. Prime factorization of 18561 in exponential form is:

18561 = 3¹ × 23¹ × 269¹

Step-3: Factors of 18549

List of positive integer factors of 18549 that divides 18549 without a remainder.

1, 3, 9, 27, 81, 229, 687, 2061, 6183

Step-4: Factors of 18561

List of positive integer factors of 18561 that divides 18549 without a remainder.

1, 3, 23, 69, 269, 807, 6187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18549 and 18561. The biggest common factor number is the GCF number.
So the greatest common factor 18549 and 18561 is 3.

Also check out the Least Common Multiple of 18549 and 18561