What is the Greatest Common Factor of 18549 and 18557?

Greatest common factor (GCF) of 18549 and 18557 is 1.

GCF(18549,18557) = 1

We will now calculate the prime factors of 18549 and 18557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18549 and 18557.

How to find the GCF of 18549 and 18557?

We will first find the prime factorization of 18549 and 18557. After we will calculate the factors of 18549 and 18557 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 18557

Prime factors of 18557 are 7, 11, 241. Prime factorization of 18557 in exponential form is:

18557 = 7¹ × 11¹ × 241¹

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 18557

List of positive integer factors of 18557 that divides 18549 without a remainder.

1, 7, 11, 77, 241, 1687, 2651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18549 and 18557. The biggest common factor number is the GCF number.
So the greatest common factor 18549 and 18557 is 1.

Also check out the Least Common Multiple of 18549 and 18557