What is the Greatest Common Factor of 11616 and 11627?

Greatest common factor (GCF) of 11616 and 11627 is 11.

GCF(11616,11627) = 11

We will now calculate the prime factors of 11616 and 11627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11616 and 11627.

How to find the GCF of 11616 and 11627?

We will first find the prime factorization of 11616 and 11627. After we will calculate the factors of 11616 and 11627 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 11627

Prime factors of 11627 are 7, 11, 151. Prime factorization of 11627 in exponential form is:

11627 = 7¹ × 11¹ × 151¹

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 11627

List of positive integer factors of 11627 that divides 11616 without a remainder.

1, 7, 11, 77, 151, 1057, 1661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11616 and 11627. The biggest common factor number is the GCF number.
So the greatest common factor 11616 and 11627 is 11.

Also check out the Least Common Multiple of 11616 and 11627