What is the Greatest Common Factor of 54864 and 54879?

Greatest common factor (GCF) of 54864 and 54879 is 3.

GCF(54864,54879) = 3

We will now calculate the prime factors of 54864 and 54879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54879.

How to find the GCF of 54864 and 54879?

We will first find the prime factorization of 54864 and 54879. After we will calculate the factors of 54864 and 54879 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 54879

Prime factors of 54879 are 3, 11, 1663. Prime factorization of 54879 in exponential form is:

54879 = 3¹ × 11¹ × 1663¹

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 54879

List of positive integer factors of 54879 that divides 54864 without a remainder.

1, 3, 11, 33, 1663, 4989, 18293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54879. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54879 is 3.

Also check out the Least Common Multiple of 54864 and 54879