What is the Greatest Common Factor of 11604 and 11616?

Greatest common factor (GCF) of 11604 and 11616 is 12.

GCF(11604,11616) = 12

We will now calculate the prime factors of 11604 and 11616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11604 and 11616.

How to find the GCF of 11604 and 11616?

We will first find the prime factorization of 11604 and 11616. After we will calculate the factors of 11604 and 11616 and find the biggest common factor number .

Step-1: Prime Factorization of 11604

Prime factors of 11604 are 2, 3, 967. Prime factorization of 11604 in exponential form is:

11604 = 2² × 3¹ × 967¹

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 11604

List of positive integer factors of 11604 that divides 11604 without a remainder.

1, 2, 3, 4, 6, 12, 967, 1934, 2901, 3868, 5802

Step-4: Factors of 11616

List of positive integer factors of 11616 that divides 11604 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 11604 and 11616. The biggest common factor number is the GCF number.
So the greatest common factor 11604 and 11616 is 12.

Also check out the Least Common Multiple of 11604 and 11616