What is the Greatest Common Factor of 54576 and 54587?

Greatest common factor (GCF) of 54576 and 54587 is 1.

GCF(54576,54587) = 1

We will now calculate the prime factors of 54576 and 54587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54576 and 54587.

How to find the GCF of 54576 and 54587?

We will first find the prime factorization of 54576 and 54587. After we will calculate the factors of 54576 and 54587 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 54587

Prime factors of 54587 are 13, 17, 19. Prime factorization of 54587 in exponential form is:

54587 = 13² × 17¹ × 19¹

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 54587

List of positive integer factors of 54587 that divides 54576 without a remainder.

1, 13, 17, 19, 169, 221, 247, 323, 2873, 3211, 4199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54576 and 54587. The biggest common factor number is the GCF number.
So the greatest common factor 54576 and 54587 is 1.

Also check out the Least Common Multiple of 54576 and 54587