What is the Greatest Common Factor of 54288 and 54308?

Greatest common factor (GCF) of 54288 and 54308 is 4.

GCF(54288,54308) = 4

We will now calculate the prime factors of 54288 and 54308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54288 and 54308.

How to find the GCF of 54288 and 54308?

We will first find the prime factorization of 54288 and 54308. After we will calculate the factors of 54288 and 54308 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 54308

Prime factors of 54308 are 2, 13577. Prime factorization of 54308 in exponential form is:

54308 = 2² × 13577¹

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 54308

List of positive integer factors of 54308 that divides 54288 without a remainder.

1, 2, 4, 13577, 27154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54288 and 54308. The biggest common factor number is the GCF number.
So the greatest common factor 54288 and 54308 is 4.

Also check out the Least Common Multiple of 54288 and 54308