What is the Greatest Common Factor of 23616 and 23624?

Greatest common factor (GCF) of 23616 and 23624 is 8.

GCF(23616,23624) = 8

We will now calculate the prime factors of 23616 and 23624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23616 and 23624.

How to find the GCF of 23616 and 23624?

We will first find the prime factorization of 23616 and 23624. After we will calculate the factors of 23616 and 23624 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 23624

Prime factors of 23624 are 2, 2953. Prime factorization of 23624 in exponential form is:

23624 = 2³ × 2953¹

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 23624

List of positive integer factors of 23624 that divides 23616 without a remainder.

1, 2, 4, 8, 2953, 5906, 11812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23616 and 23624. The biggest common factor number is the GCF number.
So the greatest common factor 23616 and 23624 is 8.

Also check out the Least Common Multiple of 23616 and 23624