What is the Greatest Common Factor of 54612 and 54627?

Greatest common factor (GCF) of 54612 and 54627 is 3.

GCF(54612,54627) = 3

We will now calculate the prime factors of 54612 and 54627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54612 and 54627.

How to find the GCF of 54612 and 54627?

We will first find the prime factorization of 54612 and 54627. After we will calculate the factors of 54612 and 54627 and find the biggest common factor number .

Step-1: Prime Factorization of 54612

Prime factors of 54612 are 2, 3, 37, 41. Prime factorization of 54612 in exponential form is:

54612 = 2² × 3² × 37¹ × 41¹

Step-2: Prime Factorization of 54627

Prime factors of 54627 are 3, 131, 139. Prime factorization of 54627 in exponential form is:

54627 = 3¹ × 131¹ × 139¹

Step-3: Factors of 54612

List of positive integer factors of 54612 that divides 54612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246, 333, 369, 444, 492, 666, 738, 1332, 1476, 1517, 3034, 4551, 6068, 9102, 13653, 18204, 27306

Step-4: Factors of 54627

List of positive integer factors of 54627 that divides 54612 without a remainder.

1, 3, 131, 139, 393, 417, 18209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54612 and 54627. The biggest common factor number is the GCF number.
So the greatest common factor 54612 and 54627 is 3.

Also check out the Least Common Multiple of 54612 and 54627