What is the Greatest Common Factor of 11616 and 11621?

Greatest common factor (GCF) of 11616 and 11621 is 1.

GCF(11616,11621) = 1

We will now calculate the prime factors of 11616 and 11621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11616 and 11621.

How to find the GCF of 11616 and 11621?

We will first find the prime factorization of 11616 and 11621. After we will calculate the factors of 11616 and 11621 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 11621

Prime factors of 11621 are 11621. Prime factorization of 11621 in exponential form is:

11621 = 11621¹

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 11621

List of positive integer factors of 11621 that divides 11616 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11616 and 11621. The biggest common factor number is the GCF number.
So the greatest common factor 11616 and 11621 is 1.

Also check out the Least Common Multiple of 11616 and 11621