What is the Greatest Common Factor of 11904 and 11919?

Greatest common factor (GCF) of 11904 and 11919 is 3.

GCF(11904,11919) = 3

We will now calculate the prime factors of 11904 and 11919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11904 and 11919.

How to find the GCF of 11904 and 11919?

We will first find the prime factorization of 11904 and 11919. After we will calculate the factors of 11904 and 11919 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 11919

Prime factors of 11919 are 3, 29, 137. Prime factorization of 11919 in exponential form is:

11919 = 3¹ × 29¹ × 137¹

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 11919

List of positive integer factors of 11919 that divides 11904 without a remainder.

1, 3, 29, 87, 137, 411, 3973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11904 and 11919. The biggest common factor number is the GCF number.
So the greatest common factor 11904 and 11919 is 3.

Also check out the Least Common Multiple of 11904 and 11919