What is the Greatest Common Factor of 11887 and 11904?

Greatest common factor (GCF) of 11887 and 11904 is 1.

GCF(11887,11904) = 1

We will now calculate the prime factors of 11887 and 11904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11887 and 11904.

How to find the GCF of 11887 and 11904?

We will first find the prime factorization of 11887 and 11904. After we will calculate the factors of 11887 and 11904 and find the biggest common factor number .

Step-1: Prime Factorization of 11887

Prime factors of 11887 are 11887. Prime factorization of 11887 in exponential form is:

11887 = 11887¹

Step-2: 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-3: Factors of 11887

List of positive integer factors of 11887 that divides 11887 without a remainder.

Step-4: Factors of 11904

List of positive integer factors of 11904 that divides 11887 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11887 and 11904. The biggest common factor number is the GCF number.
So the greatest common factor 11887 and 11904 is 1.

Also check out the Least Common Multiple of 11887 and 11904