What is the Greatest Common Factor of 11616 and 11623?

Greatest common factor (GCF) of 11616 and 11623 is 1.

GCF(11616,11623) = 1

We will now calculate the prime factors of 11616 and 11623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11616 and 11623.

How to find the GCF of 11616 and 11623?

We will first find the prime factorization of 11616 and 11623. After we will calculate the factors of 11616 and 11623 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 11623

Prime factors of 11623 are 59, 197. Prime factorization of 11623 in exponential form is:

11623 = 59¹ × 197¹

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 11623

List of positive integer factors of 11623 that divides 11616 without a remainder.

1, 59, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11616 and 11623. The biggest common factor number is the GCF number.
So the greatest common factor 11616 and 11623 is 1.

Also check out the Least Common Multiple of 11616 and 11623