What is the Greatest Common Factor of 54288 and 54306?

Greatest common factor (GCF) of 54288 and 54306 is 18.

GCF(54288,54306) = 18

We will now calculate the prime factors of 54288 and 54306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54288 and 54306.

How to find the GCF of 54288 and 54306?

We will first find the prime factorization of 54288 and 54306. After we will calculate the factors of 54288 and 54306 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 54306

Prime factors of 54306 are 2, 3, 7, 431. Prime factorization of 54306 in exponential form is:

54306 = 2¹ × 3² × 7¹ × 431¹

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 54306

List of positive integer factors of 54306 that divides 54288 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 431, 862, 1293, 2586, 3017, 3879, 6034, 7758, 9051, 18102, 27153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54288 and 54306. The biggest common factor number is the GCF number.
So the greatest common factor 54288 and 54306 is 18.

Also check out the Least Common Multiple of 54288 and 54306