What is the Greatest Common Factor of 54892 and 54912?

Greatest common factor (GCF) of 54892 and 54912 is 4.

GCF(54892,54912) = 4

We will now calculate the prime factors of 54892 and 54912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54892 and 54912.

How to find the GCF of 54892 and 54912?

We will first find the prime factorization of 54892 and 54912. After we will calculate the factors of 54892 and 54912 and find the biggest common factor number .

Step-1: Prime Factorization of 54892

Prime factors of 54892 are 2, 13723. Prime factorization of 54892 in exponential form is:

54892 = 2² × 13723¹

Step-2: 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-3: Factors of 54892

List of positive integer factors of 54892 that divides 54892 without a remainder.

1, 2, 4, 13723, 27446

Step-4: Factors of 54912

List of positive integer factors of 54912 that divides 54892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54892 and 54912. The biggest common factor number is the GCF number.
So the greatest common factor 54892 and 54912 is 4.

Also check out the Least Common Multiple of 54892 and 54912