What is the Greatest Common Factor of 18528 and 18543?

Greatest common factor (GCF) of 18528 and 18543 is 3.

GCF(18528,18543) = 3

We will now calculate the prime factors of 18528 and 18543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18528 and 18543.

How to find the GCF of 18528 and 18543?

We will first find the prime factorization of 18528 and 18543. After we will calculate the factors of 18528 and 18543 and find the biggest common factor number .

Step-1: Prime Factorization of 18528

Prime factors of 18528 are 2, 3, 193. Prime factorization of 18528 in exponential form is:

18528 = 2⁵ × 3¹ × 193¹

Step-2: 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-3: Factors of 18528

List of positive integer factors of 18528 that divides 18528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 6176, 9264

Step-4: Factors of 18543

List of positive integer factors of 18543 that divides 18528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18528 and 18543. The biggest common factor number is the GCF number.
So the greatest common factor 18528 and 18543 is 3.

Also check out the Least Common Multiple of 18528 and 18543