What is the Greatest Common Factor of 54657 and 54672?

Greatest common factor (GCF) of 54657 and 54672 is 3.

GCF(54657,54672) = 3

We will now calculate the prime factors of 54657 and 54672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54657 and 54672.

How to find the GCF of 54657 and 54672?

We will first find the prime factorization of 54657 and 54672. After we will calculate the factors of 54657 and 54672 and find the biggest common factor number .

Step-1: Prime Factorization of 54657

Prime factors of 54657 are 3, 6073. Prime factorization of 54657 in exponential form is:

54657 = 3² × 6073¹

Step-2: Prime Factorization of 54672

Prime factors of 54672 are 2, 3, 17, 67. Prime factorization of 54672 in exponential form is:

54672 = 2⁴ × 3¹ × 17¹ × 67¹

Step-3: Factors of 54657

List of positive integer factors of 54657 that divides 54657 without a remainder.

1, 3, 9, 6073, 18219

Step-4: Factors of 54672

List of positive integer factors of 54672 that divides 54657 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 67, 68, 102, 134, 136, 201, 204, 268, 272, 402, 408, 536, 804, 816, 1072, 1139, 1608, 2278, 3216, 3417, 4556, 6834, 9112, 13668, 18224, 27336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54657 and 54672. The biggest common factor number is the GCF number.
So the greatest common factor 54657 and 54672 is 3.

Also check out the Least Common Multiple of 54657 and 54672