What is the Greatest Common Factor of 11792 and 11800?

Greatest common factor (GCF) of 11792 and 11800 is 8.

GCF(11792,11800) = 8

We will now calculate the prime factors of 11792 and 11800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11792 and 11800.

How to find the GCF of 11792 and 11800?

We will first find the prime factorization of 11792 and 11800. After we will calculate the factors of 11792 and 11800 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 11800

Prime factors of 11800 are 2, 5, 59. Prime factorization of 11800 in exponential form is:

11800 = 2³ × 5² × 59¹

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 11800

List of positive integer factors of 11800 that divides 11792 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 59, 100, 118, 200, 236, 295, 472, 590, 1180, 1475, 2360, 2950, 5900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11792 and 11800. The biggest common factor number is the GCF number.
So the greatest common factor 11792 and 11800 is 8.

Also check out the Least Common Multiple of 11792 and 11800