What is the Greatest Common Factor of 11884 and 11904?

Greatest common factor (GCF) of 11884 and 11904 is 4.

GCF(11884,11904) = 4

We will now calculate the prime factors of 11884 and 11904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11884 and 11904.

How to find the GCF of 11884 and 11904?

We will first find the prime factorization of 11884 and 11904. After we will calculate the factors of 11884 and 11904 and find the biggest common factor number .

Step-1: Prime Factorization of 11884

Prime factors of 11884 are 2, 2971. Prime factorization of 11884 in exponential form is:

11884 = 2² × 2971¹

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 11884

List of positive integer factors of 11884 that divides 11884 without a remainder.

1, 2, 4, 2971, 5942

Step-4: Factors of 11904

List of positive integer factors of 11904 that divides 11884 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 11884 and 11904. The biggest common factor number is the GCF number.
So the greatest common factor 11884 and 11904 is 4.

Also check out the Least Common Multiple of 11884 and 11904