What is the Greatest Common Factor of 54285 and 54297?

Greatest common factor (GCF) of 54285 and 54297 is 3.

GCF(54285,54297) = 3

We will now calculate the prime factors of 54285 and 54297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54285 and 54297.

How to find the GCF of 54285 and 54297?

We will first find the prime factorization of 54285 and 54297. After we will calculate the factors of 54285 and 54297 and find the biggest common factor number .

Step-1: Prime Factorization of 54285

Prime factors of 54285 are 3, 5, 7, 11, 47. Prime factorization of 54285 in exponential form is:

54285 = 3¹ × 5¹ × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 54297

Prime factors of 54297 are 3, 2011. Prime factorization of 54297 in exponential form is:

54297 = 3³ × 2011¹

Step-3: Factors of 54285

List of positive integer factors of 54285 that divides 54285 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 47, 55, 77, 105, 141, 165, 231, 235, 329, 385, 517, 705, 987, 1155, 1551, 1645, 2585, 3619, 4935, 7755, 10857, 18095

Step-4: Factors of 54297

List of positive integer factors of 54297 that divides 54285 without a remainder.

1, 3, 9, 27, 2011, 6033, 18099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54285 and 54297. The biggest common factor number is the GCF number.
So the greatest common factor 54285 and 54297 is 3.

Also check out the Least Common Multiple of 54285 and 54297