What is the Greatest Common Factor of 54285 and 54304?

Greatest common factor (GCF) of 54285 and 54304 is 1.

GCF(54285,54304) = 1

We will now calculate the prime factors of 54285 and 54304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54285 and 54304.

How to find the GCF of 54285 and 54304?

We will first find the prime factorization of 54285 and 54304. After we will calculate the factors of 54285 and 54304 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 54304

Prime factors of 54304 are 2, 1697. Prime factorization of 54304 in exponential form is:

54304 = 2⁵ × 1697¹

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 54304

List of positive integer factors of 54304 that divides 54285 without a remainder.

1, 2, 4, 8, 16, 32, 1697, 3394, 6788, 13576, 27152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54285 and 54304. The biggest common factor number is the GCF number.
So the greatest common factor 54285 and 54304 is 1.

Also check out the Least Common Multiple of 54285 and 54304