What is the Greatest Common Factor of 54864 and 54882?

Greatest common factor (GCF) of 54864 and 54882 is 18.

GCF(54864,54882) = 18

We will now calculate the prime factors of 54864 and 54882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54882.

How to find the GCF of 54864 and 54882?

We will first find the prime factorization of 54864 and 54882. After we will calculate the factors of 54864 and 54882 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 54882

Prime factors of 54882 are 2, 3, 3049. Prime factorization of 54882 in exponential form is:

54882 = 2¹ × 3² × 3049¹

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 54882

List of positive integer factors of 54882 that divides 54864 without a remainder.

1, 2, 3, 6, 9, 18, 3049, 6098, 9147, 18294, 27441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54882. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54882 is 18.

Also check out the Least Common Multiple of 54864 and 54882