What is the Greatest Common Factor of 54576 and 54584?

Greatest common factor (GCF) of 54576 and 54584 is 8.

GCF(54576,54584) = 8

We will now calculate the prime factors of 54576 and 54584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54576 and 54584.

How to find the GCF of 54576 and 54584?

We will first find the prime factorization of 54576 and 54584. After we will calculate the factors of 54576 and 54584 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 54584

Prime factors of 54584 are 2, 6823. Prime factorization of 54584 in exponential form is:

54584 = 2³ × 6823¹

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 54584

List of positive integer factors of 54584 that divides 54576 without a remainder.

1, 2, 4, 8, 6823, 13646, 27292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54576 and 54584. The biggest common factor number is the GCF number.
So the greatest common factor 54576 and 54584 is 8.

Also check out the Least Common Multiple of 54576 and 54584