What is the Greatest Common Factor of 18543 and 18557?

Greatest common factor (GCF) of 18543 and 18557 is 7.

GCF(18543,18557) = 7

We will now calculate the prime factors of 18543 and 18557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18543 and 18557.

How to find the GCF of 18543 and 18557?

We will first find the prime factorization of 18543 and 18557. After we will calculate the factors of 18543 and 18557 and find the biggest common factor number .

Step-1: Prime Factorization of 18543

Prime factors of 18543 are 3, 7, 883. Prime factorization of 18543 in exponential form is:

18543 = 3¹ × 7¹ × 883¹

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 18543

List of positive integer factors of 18543 that divides 18543 without a remainder.

1, 3, 7, 21, 883, 2649, 6181

Step-4: Factors of 18557

List of positive integer factors of 18557 that divides 18543 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18543 and 18557. The biggest common factor number is the GCF number.
So the greatest common factor 18543 and 18557 is 7.

Also check out the Least Common Multiple of 18543 and 18557