What is the Greatest Common Factor of 54756 and 54771?

Greatest common factor (GCF) of 54756 and 54771 is 3.

GCF(54756,54771) = 3

We will now calculate the prime factors of 54756 and 54771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54756 and 54771.

How to find the GCF of 54756 and 54771?

We will first find the prime factorization of 54756 and 54771. After we will calculate the factors of 54756 and 54771 and find the biggest common factor number .

Step-1: Prime Factorization of 54756

Prime factors of 54756 are 2, 3, 13. Prime factorization of 54756 in exponential form is:

54756 = 2² × 3⁴ × 13²

Step-2: Prime Factorization of 54771

Prime factors of 54771 are 3, 18257. Prime factorization of 54771 in exponential form is:

54771 = 3¹ × 18257¹

Step-3: Factors of 54756

List of positive integer factors of 54756 that divides 54756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 169, 234, 324, 338, 351, 468, 507, 676, 702, 1014, 1053, 1404, 1521, 2028, 2106, 3042, 4212, 4563, 6084, 9126, 13689, 18252, 27378

Step-4: Factors of 54771

List of positive integer factors of 54771 that divides 54756 without a remainder.

1, 3, 18257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54756 and 54771. The biggest common factor number is the GCF number.
So the greatest common factor 54756 and 54771 is 3.

Also check out the Least Common Multiple of 54756 and 54771