What is the Greatest Common Factor of 54288 and 54293?

Greatest common factor (GCF) of 54288 and 54293 is 1.

GCF(54288,54293) = 1

We will now calculate the prime factors of 54288 and 54293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54288 and 54293.

How to find the GCF of 54288 and 54293?

We will first find the prime factorization of 54288 and 54293. After we will calculate the factors of 54288 and 54293 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 54293

Prime factors of 54293 are 54293. Prime factorization of 54293 in exponential form is:

54293 = 54293¹

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 54293

List of positive integer factors of 54293 that divides 54288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54288 and 54293. The biggest common factor number is the GCF number.
So the greatest common factor 54288 and 54293 is 1.

Also check out the Least Common Multiple of 54288 and 54293