What is the Greatest Common Factor of 23616 and 23627?

Greatest common factor (GCF) of 23616 and 23627 is 1.

GCF(23616,23627) = 1

We will now calculate the prime factors of 23616 and 23627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23616 and 23627.

How to find the GCF of 23616 and 23627?

We will first find the prime factorization of 23616 and 23627. After we will calculate the factors of 23616 and 23627 and find the biggest common factor number .

Step-1: Prime Factorization of 23616

Prime factors of 23616 are 2, 3, 41. Prime factorization of 23616 in exponential form is:

23616 = 2⁶ × 3² × 41¹

Step-2: Prime Factorization of 23627

Prime factors of 23627 are 23627. Prime factorization of 23627 in exponential form is:

23627 = 23627¹

Step-3: Factors of 23616

List of positive integer factors of 23616 that divides 23616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 64, 72, 82, 96, 123, 144, 164, 192, 246, 288, 328, 369, 492, 576, 656, 738, 984, 1312, 1476, 1968, 2624, 2952, 3936, 5904, 7872, 11808

Step-4: Factors of 23627

List of positive integer factors of 23627 that divides 23616 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23616 and 23627. The biggest common factor number is the GCF number.
So the greatest common factor 23616 and 23627 is 1.

Also check out the Least Common Multiple of 23616 and 23627