What is the Greatest Common Factor of 54912 and 54931?

Greatest common factor (GCF) of 54912 and 54931 is 1.

GCF(54912,54931) = 1

We will now calculate the prime factors of 54912 and 54931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54912 and 54931.

How to find the GCF of 54912 and 54931?

We will first find the prime factorization of 54912 and 54931. After we will calculate the factors of 54912 and 54931 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 54931

Prime factors of 54931 are 163, 337. Prime factorization of 54931 in exponential form is:

54931 = 163¹ × 337¹

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 54931

List of positive integer factors of 54931 that divides 54912 without a remainder.

1, 163, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54912 and 54931. The biggest common factor number is the GCF number.
So the greatest common factor 54912 and 54931 is 1.

Also check out the Least Common Multiple of 54912 and 54931