What is the Greatest Common Factor of 54576 and 54594?

Greatest common factor (GCF) of 54576 and 54594 is 18.

GCF(54576,54594) = 18

We will now calculate the prime factors of 54576 and 54594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54576 and 54594.

How to find the GCF of 54576 and 54594?

We will first find the prime factorization of 54576 and 54594. After we will calculate the factors of 54576 and 54594 and find the biggest common factor number .

Step-1: Prime Factorization of 54576

Prime factors of 54576 are 2, 3, 379. Prime factorization of 54576 in exponential form is:

54576 = 2⁴ × 3² × 379¹

Step-2: Prime Factorization of 54594

Prime factors of 54594 are 2, 3, 337. Prime factorization of 54594 in exponential form is:

54594 = 2¹ × 3⁴ × 337¹

Step-3: Factors of 54576

List of positive integer factors of 54576 that divides 54576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6064, 6822, 9096, 13644, 18192, 27288

Step-4: Factors of 54594

List of positive integer factors of 54594 that divides 54576 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 337, 674, 1011, 2022, 3033, 6066, 9099, 18198, 27297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54576 and 54594. The biggest common factor number is the GCF number.
So the greatest common factor 54576 and 54594 is 18.

Also check out the Least Common Multiple of 54576 and 54594