What is the Greatest Common Factor of 54912 and 54924?

Greatest common factor (GCF) of 54912 and 54924 is 12.

GCF(54912,54924) = 12

We will now calculate the prime factors of 54912 and 54924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54912 and 54924.

How to find the GCF of 54912 and 54924?

We will first find the prime factorization of 54912 and 54924. After we will calculate the factors of 54912 and 54924 and find the biggest common factor number .

Step-1: Prime Factorization of 54912

Prime factors of 54912 are 2, 3, 11, 13. Prime factorization of 54912 in exponential form is:

54912 = 2⁷ × 3¹ × 11¹ × 13¹

Step-2: Prime Factorization of 54924

Prime factors of 54924 are 2, 3, 23, 199. Prime factorization of 54924 in exponential form is:

54924 = 2² × 3¹ × 23¹ × 199¹

Step-3: Factors of 54912

List of positive integer factors of 54912 that divides 54912 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 32, 33, 39, 44, 48, 52, 64, 66, 78, 88, 96, 104, 128, 132, 143, 156, 176, 192, 208, 264, 286, 312, 352, 384, 416, 429, 528, 572, 624, 704, 832, 858, 1056, 1144, 1248, 1408, 1664, 1716, 2112, 2288, 2496, 3432, 4224, 4576, 4992, 6864, 9152, 13728, 18304, 27456

Step-4: Factors of 54924

List of positive integer factors of 54924 that divides 54912 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 199, 276, 398, 597, 796, 1194, 2388, 4577, 9154, 13731, 18308, 27462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54912 and 54924. The biggest common factor number is the GCF number.
So the greatest common factor 54912 and 54924 is 12.

Also check out the Least Common Multiple of 54912 and 54924