What is the Greatest Common Factor of 11904 and 11912?

Greatest common factor (GCF) of 11904 and 11912 is 8.

GCF(11904,11912) = 8

We will now calculate the prime factors of 11904 and 11912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11904 and 11912.

How to find the GCF of 11904 and 11912?

We will first find the prime factorization of 11904 and 11912. After we will calculate the factors of 11904 and 11912 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 11912

Prime factors of 11912 are 2, 1489. Prime factorization of 11912 in exponential form is:

11912 = 2³ × 1489¹

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 11912

List of positive integer factors of 11912 that divides 11904 without a remainder.

1, 2, 4, 8, 1489, 2978, 5956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11904 and 11912. The biggest common factor number is the GCF number.
So the greatest common factor 11904 and 11912 is 8.

Also check out the Least Common Multiple of 11904 and 11912