What is the Greatest Common Factor of 54288 and 54296?

Greatest common factor (GCF) of 54288 and 54296 is 8.

GCF(54288,54296) = 8

We will now calculate the prime factors of 54288 and 54296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54288 and 54296.

How to find the GCF of 54288 and 54296?

We will first find the prime factorization of 54288 and 54296. After we will calculate the factors of 54288 and 54296 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 54296

Prime factors of 54296 are 2, 11, 617. Prime factorization of 54296 in exponential form is:

54296 = 2³ × 11¹ × 617¹

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 54296

List of positive integer factors of 54296 that divides 54288 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 617, 1234, 2468, 4936, 6787, 13574, 27148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54288 and 54296. The biggest common factor number is the GCF number.
So the greatest common factor 54288 and 54296 is 8.

Also check out the Least Common Multiple of 54288 and 54296