What is the Greatest Common Factor of 11904 and 11922?

Greatest common factor (GCF) of 11904 and 11922 is 6.

GCF(11904,11922) = 6

We will now calculate the prime factors of 11904 and 11922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11904 and 11922.

How to find the GCF of 11904 and 11922?

We will first find the prime factorization of 11904 and 11922. After we will calculate the factors of 11904 and 11922 and find the biggest common factor number .

Step-1: Prime Factorization of 11904

Prime factors of 11904 are 2, 3, 31. Prime factorization of 11904 in exponential form is:

11904 = 2⁷ × 3¹ × 31¹

Step-2: Prime Factorization of 11922

Prime factors of 11922 are 2, 3, 1987. Prime factorization of 11922 in exponential form is:

11922 = 2¹ × 3¹ × 1987¹

Step-3: Factors of 11904

List of positive integer factors of 11904 that divides 11904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 128, 186, 192, 248, 372, 384, 496, 744, 992, 1488, 1984, 2976, 3968, 5952

Step-4: Factors of 11922

List of positive integer factors of 11922 that divides 11904 without a remainder.

1, 2, 3, 6, 1987, 3974, 5961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11904 and 11922. The biggest common factor number is the GCF number.
So the greatest common factor 11904 and 11922 is 6.

Also check out the Least Common Multiple of 11904 and 11922