What is the Greatest Common Factor of 11600 and 11616?

Greatest common factor (GCF) of 11600 and 11616 is 16.

GCF(11600,11616) = 16

We will now calculate the prime factors of 11600 and 11616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11600 and 11616.

How to find the GCF of 11600 and 11616?

We will first find the prime factorization of 11600 and 11616. After we will calculate the factors of 11600 and 11616 and find the biggest common factor number .

Step-1: Prime Factorization of 11600

Prime factors of 11600 are 2, 5, 29. Prime factorization of 11600 in exponential form is:

11600 = 2⁴ × 5² × 29¹

Step-2: Prime Factorization of 11616

Prime factors of 11616 are 2, 3, 11. Prime factorization of 11616 in exponential form is:

11616 = 2⁵ × 3¹ × 11²

Step-3: Factors of 11600

List of positive integer factors of 11600 that divides 11600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116, 145, 200, 232, 290, 400, 464, 580, 725, 1160, 1450, 2320, 2900, 5800

Step-4: Factors of 11616

List of positive integer factors of 11616 that divides 11600 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 121, 132, 176, 242, 264, 352, 363, 484, 528, 726, 968, 1056, 1452, 1936, 2904, 3872, 5808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11600 and 11616. The biggest common factor number is the GCF number.
So the greatest common factor 11600 and 11616 is 16.

Also check out the Least Common Multiple of 11600 and 11616