What is the Greatest Common Factor of 54741 and 54756?

Greatest common factor (GCF) of 54741 and 54756 is 3.

GCF(54741,54756) = 3

We will now calculate the prime factors of 54741 and 54756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54741 and 54756.

How to find the GCF of 54741 and 54756?

We will first find the prime factorization of 54741 and 54756. After we will calculate the factors of 54741 and 54756 and find the biggest common factor number .

Step-1: Prime Factorization of 54741

Prime factors of 54741 are 3, 71, 257. Prime factorization of 54741 in exponential form is:

54741 = 3¹ × 71¹ × 257¹

Step-2: 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-3: Factors of 54741

List of positive integer factors of 54741 that divides 54741 without a remainder.

1, 3, 71, 213, 257, 771, 18247

Step-4: Factors of 54756

List of positive integer factors of 54756 that divides 54741 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54741 and 54756. The biggest common factor number is the GCF number.
So the greatest common factor 54741 and 54756 is 3.

Also check out the Least Common Multiple of 54741 and 54756