What is the Greatest Common Factor of 54750 and 54756?

Greatest common factor (GCF) of 54750 and 54756 is 6.

GCF(54750,54756) = 6

We will now calculate the prime factors of 54750 and 54756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54750 and 54756.

How to find the GCF of 54750 and 54756?

We will first find the prime factorization of 54750 and 54756. After we will calculate the factors of 54750 and 54756 and find the biggest common factor number .

Step-1: Prime Factorization of 54750

Prime factors of 54750 are 2, 3, 5, 73. Prime factorization of 54750 in exponential form is:

54750 = 2¹ × 3¹ × 5³ × 73¹

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 54750

List of positive integer factors of 54750 that divides 54750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 125, 146, 150, 219, 250, 365, 375, 438, 730, 750, 1095, 1825, 2190, 3650, 5475, 9125, 10950, 18250, 27375

Step-4: Factors of 54756

List of positive integer factors of 54756 that divides 54750 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 54750 and 54756. The biggest common factor number is the GCF number.
So the greatest common factor 54750 and 54756 is 6.

Also check out the Least Common Multiple of 54750 and 54756