What is the Greatest Common Factor of 18537 and 18549?

Greatest common factor (GCF) of 18537 and 18549 is 3.

GCF(18537,18549) = 3

We will now calculate the prime factors of 18537 and 18549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18537 and 18549.

How to find the GCF of 18537 and 18549?

We will first find the prime factorization of 18537 and 18549. After we will calculate the factors of 18537 and 18549 and find the biggest common factor number .

Step-1: Prime Factorization of 18537

Prime factors of 18537 are 3, 37, 167. Prime factorization of 18537 in exponential form is:

18537 = 3¹ × 37¹ × 167¹

Step-2: Prime Factorization of 18549

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

18549 = 3⁴ × 229¹

Step-3: Factors of 18537

List of positive integer factors of 18537 that divides 18537 without a remainder.

1, 3, 37, 111, 167, 501, 6179

Step-4: Factors of 18549

List of positive integer factors of 18549 that divides 18537 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18537 and 18549. The biggest common factor number is the GCF number.
So the greatest common factor 18537 and 18549 is 3.

Also check out the Least Common Multiple of 18537 and 18549