What is the Greatest Common Factor of 23604 and 23616?

Greatest common factor (GCF) of 23604 and 23616 is 12.

GCF(23604,23616) = 12

We will now calculate the prime factors of 23604 and 23616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23604 and 23616.

How to find the GCF of 23604 and 23616?

We will first find the prime factorization of 23604 and 23616. After we will calculate the factors of 23604 and 23616 and find the biggest common factor number .

Step-1: Prime Factorization of 23604

Prime factors of 23604 are 2, 3, 7, 281. Prime factorization of 23604 in exponential form is:

23604 = 2² × 3¹ × 7¹ × 281¹

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 23604

List of positive integer factors of 23604 that divides 23604 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 281, 562, 843, 1124, 1686, 1967, 3372, 3934, 5901, 7868, 11802

Step-4: Factors of 23616

List of positive integer factors of 23616 that divides 23604 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 23604 and 23616. The biggest common factor number is the GCF number.
So the greatest common factor 23604 and 23616 is 12.

Also check out the Least Common Multiple of 23604 and 23616