What is the Greatest Common Factor of 54912 and 54925?

Greatest common factor (GCF) of 54912 and 54925 is 13.

GCF(54912,54925) = 13

We will now calculate the prime factors of 54912 and 54925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54912 and 54925.

How to find the GCF of 54912 and 54925?

We will first find the prime factorization of 54912 and 54925. After we will calculate the factors of 54912 and 54925 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 54925

Prime factors of 54925 are 5, 13. Prime factorization of 54925 in exponential form is:

54925 = 5² × 13³

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 54925

List of positive integer factors of 54925 that divides 54912 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845, 2197, 4225, 10985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54912 and 54925. The biggest common factor number is the GCF number.
So the greatest common factor 54912 and 54925 is 13.

Also check out the Least Common Multiple of 54912 and 54925