What is the Greatest Common Factor of 18543 and 18561?

Greatest common factor (GCF) of 18543 and 18561 is 3.

GCF(18543,18561) = 3

We will now calculate the prime factors of 18543 and 18561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18543 and 18561.

How to find the GCF of 18543 and 18561?

We will first find the prime factorization of 18543 and 18561. After we will calculate the factors of 18543 and 18561 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 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 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 18561

List of positive integer factors of 18561 that divides 18543 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18543 and 18561. The biggest common factor number is the GCF number.
So the greatest common factor 18543 and 18561 is 3.

Also check out the Least Common Multiple of 18543 and 18561