What is the Greatest Common Factor of 18540 and 18549?

Greatest common factor (GCF) of 18540 and 18549 is 9.

GCF(18540,18549) = 9

We will now calculate the prime factors of 18540 and 18549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18540 and 18549.

How to find the GCF of 18540 and 18549?

We will first find the prime factorization of 18540 and 18549. After we will calculate the factors of 18540 and 18549 and find the biggest common factor number .

Step-1: Prime Factorization of 18540

Prime factors of 18540 are 2, 3, 5, 103. Prime factorization of 18540 in exponential form is:

18540 = 2² × 3² × 5¹ × 103¹

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 18540

List of positive integer factors of 18540 that divides 18540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 103, 180, 206, 309, 412, 515, 618, 927, 1030, 1236, 1545, 1854, 2060, 3090, 3708, 4635, 6180, 9270

Step-4: Factors of 18549

List of positive integer factors of 18549 that divides 18540 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 18540 and 18549. The biggest common factor number is the GCF number.
So the greatest common factor 18540 and 18549 is 9.

Also check out the Least Common Multiple of 18540 and 18549