What is the Greatest Common Factor of 54864 and 54876?

Greatest common factor (GCF) of 54864 and 54876 is 12.

GCF(54864,54876) = 12

We will now calculate the prime factors of 54864 and 54876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54876.

How to find the GCF of 54864 and 54876?

We will first find the prime factorization of 54864 and 54876. After we will calculate the factors of 54864 and 54876 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 54876

Prime factors of 54876 are 2, 3, 17, 269. Prime factorization of 54876 in exponential form is:

54876 = 2² × 3¹ × 17¹ × 269¹

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 54876

List of positive integer factors of 54876 that divides 54864 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 269, 538, 807, 1076, 1614, 3228, 4573, 9146, 13719, 18292, 27438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54876. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54876 is 12.

Also check out the Least Common Multiple of 54864 and 54876