What is the Greatest Common Factor of 54756 and 54774?

Greatest common factor (GCF) of 54756 and 54774 is 18.

GCF(54756,54774) = 18

We will now calculate the prime factors of 54756 and 54774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54756 and 54774.

How to find the GCF of 54756 and 54774?

We will first find the prime factorization of 54756 and 54774. After we will calculate the factors of 54756 and 54774 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 54774

Prime factors of 54774 are 2, 3, 17, 179. Prime factorization of 54774 in exponential form is:

54774 = 2¹ × 3² × 17¹ × 179¹

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 54774

List of positive integer factors of 54774 that divides 54756 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 179, 306, 358, 537, 1074, 1611, 3043, 3222, 6086, 9129, 18258, 27387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54756 and 54774. The biggest common factor number is the GCF number.
So the greatest common factor 54756 and 54774 is 18.

Also check out the Least Common Multiple of 54756 and 54774