What is the Greatest Common Factor of 23600 and 23616?

Greatest common factor (GCF) of 23600 and 23616 is 16.

GCF(23600,23616) = 16

We will now calculate the prime factors of 23600 and 23616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23600 and 23616.

How to find the GCF of 23600 and 23616?

We will first find the prime factorization of 23600 and 23616. After we will calculate the factors of 23600 and 23616 and find the biggest common factor number .

Step-1: Prime Factorization of 23600

Prime factors of 23600 are 2, 5, 59. Prime factorization of 23600 in exponential form is:

23600 = 2⁴ × 5² × 59¹

Step-2: 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-3: Factors of 23600

List of positive integer factors of 23600 that divides 23600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 59, 80, 100, 118, 200, 236, 295, 400, 472, 590, 944, 1180, 1475, 2360, 2950, 4720, 5900, 11800

Step-4: Factors of 23616

List of positive integer factors of 23616 that divides 23600 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23600 and 23616. The biggest common factor number is the GCF number.
So the greatest common factor 23600 and 23616 is 16.

Also check out the Least Common Multiple of 23600 and 23616