What is the Greatest Common Factor of 54288 and 54304?

Greatest common factor (GCF) of 54288 and 54304 is 16.

GCF(54288,54304) = 16

We will now calculate the prime factors of 54288 and 54304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54288 and 54304.

How to find the GCF of 54288 and 54304?

We will first find the prime factorization of 54288 and 54304. After we will calculate the factors of 54288 and 54304 and find the biggest common factor number .

Step-1: Prime Factorization of 54288

Prime factors of 54288 are 2, 3, 13, 29. Prime factorization of 54288 in exponential form is:

54288 = 2⁴ × 3² × 13¹ × 29¹

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 54288

List of positive integer factors of 54288 that divides 54288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 29, 36, 39, 48, 52, 58, 72, 78, 87, 104, 116, 117, 144, 156, 174, 208, 232, 234, 261, 312, 348, 377, 464, 468, 522, 624, 696, 754, 936, 1044, 1131, 1392, 1508, 1872, 2088, 2262, 3016, 3393, 4176, 4524, 6032, 6786, 9048, 13572, 18096, 27144

Step-4: Factors of 54304

List of positive integer factors of 54304 that divides 54288 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 54288 and 54304. The biggest common factor number is the GCF number.
So the greatest common factor 54288 and 54304 is 16.

Also check out the Least Common Multiple of 54288 and 54304