What is the Greatest Common Factor of 11792 and 11808?

Greatest common factor (GCF) of 11792 and 11808 is 16.

GCF(11792,11808) = 16

We will now calculate the prime factors of 11792 and 11808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11792 and 11808.

How to find the GCF of 11792 and 11808?

We will first find the prime factorization of 11792 and 11808. After we will calculate the factors of 11792 and 11808 and find the biggest common factor number .

Step-1: Prime Factorization of 11792

Prime factors of 11792 are 2, 11, 67. Prime factorization of 11792 in exponential form is:

11792 = 2⁴ × 11¹ × 67¹

Step-2: Prime Factorization of 11808

Prime factors of 11808 are 2, 3, 41. Prime factorization of 11808 in exponential form is:

11808 = 2⁵ × 3² × 41¹

Step-3: Factors of 11792

List of positive integer factors of 11792 that divides 11792 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 67, 88, 134, 176, 268, 536, 737, 1072, 1474, 2948, 5896

Step-4: Factors of 11808

List of positive integer factors of 11808 that divides 11792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 72, 82, 96, 123, 144, 164, 246, 288, 328, 369, 492, 656, 738, 984, 1312, 1476, 1968, 2952, 3936, 5904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11792 and 11808. The biggest common factor number is the GCF number.
So the greatest common factor 11792 and 11808 is 16.

Also check out the Least Common Multiple of 11792 and 11808