What is the Greatest Common Factor of 54912 and 54922?

Greatest common factor (GCF) of 54912 and 54922 is 2.

GCF(54912,54922) = 2

We will now calculate the prime factors of 54912 and 54922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54912 and 54922.

How to find the GCF of 54912 and 54922?

We will first find the prime factorization of 54912 and 54922. After we will calculate the factors of 54912 and 54922 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 54922

Prime factors of 54922 are 2, 7, 3923. Prime factorization of 54922 in exponential form is:

54922 = 2¹ × 7¹ × 3923¹

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 54922

List of positive integer factors of 54922 that divides 54912 without a remainder.

1, 2, 7, 14, 3923, 7846, 27461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54912 and 54922. The biggest common factor number is the GCF number.
So the greatest common factor 54912 and 54922 is 2.

Also check out the Least Common Multiple of 54912 and 54922