What is the Greatest Common Factor of 54864 and 54872?

Greatest common factor (GCF) of 54864 and 54872 is 8.

GCF(54864,54872) = 8

We will now calculate the prime factors of 54864 and 54872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54872.

How to find the GCF of 54864 and 54872?

We will first find the prime factorization of 54864 and 54872. After we will calculate the factors of 54864 and 54872 and find the biggest common factor number .

Step-1: Prime Factorization of 54864

Prime factors of 54864 are 2, 3, 127. Prime factorization of 54864 in exponential form is:

54864 = 2⁴ × 3³ × 127¹

Step-2: Prime Factorization of 54872

Prime factors of 54872 are 2, 19. Prime factorization of 54872 in exponential form is:

54872 = 2³ × 19³

Step-3: Factors of 54864

List of positive integer factors of 54864 that divides 54864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 127, 144, 216, 254, 381, 432, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 3429, 4572, 6096, 6858, 9144, 13716, 18288, 27432

Step-4: Factors of 54872

List of positive integer factors of 54872 that divides 54864 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888, 6859, 13718, 27436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54872. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54872 is 8.

Also check out the Least Common Multiple of 54864 and 54872