What is the Greatest Common Factor of 54912 and 54921?

Greatest common factor (GCF) of 54912 and 54921 is 3.

GCF(54912,54921) = 3

We will now calculate the prime factors of 54912 and 54921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54912 and 54921.

How to find the GCF of 54912 and 54921?

We will first find the prime factorization of 54912 and 54921. After we will calculate the factors of 54912 and 54921 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 54921

Prime factors of 54921 are 3, 18307. Prime factorization of 54921 in exponential form is:

54921 = 3¹ × 18307¹

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 54921

List of positive integer factors of 54921 that divides 54912 without a remainder.

1, 3, 18307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54912 and 54921. The biggest common factor number is the GCF number.
So the greatest common factor 54912 and 54921 is 3.

Also check out the Least Common Multiple of 54912 and 54921