What is the Greatest Common Factor of 11616 and 11628?

Greatest common factor (GCF) of 11616 and 11628 is 12.

GCF(11616,11628) = 12

We will now calculate the prime factors of 11616 and 11628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11616 and 11628.

How to find the GCF of 11616 and 11628?

We will first find the prime factorization of 11616 and 11628. After we will calculate the factors of 11616 and 11628 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11628

Prime factors of 11628 are 2, 3, 17, 19. Prime factorization of 11628 in exponential form is:

11628 = 2² × 3² × 17¹ × 19¹

Step-3: Factors of 11616

List of positive integer factors of 11616 that divides 11616 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

Step-4: Factors of 11628

List of positive integer factors of 11628 that divides 11616 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 19, 34, 36, 38, 51, 57, 68, 76, 102, 114, 153, 171, 204, 228, 306, 323, 342, 612, 646, 684, 969, 1292, 1938, 2907, 3876, 5814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11616 and 11628. The biggest common factor number is the GCF number.
So the greatest common factor 11616 and 11628 is 12.

Also check out the Least Common Multiple of 11616 and 11628