What is the Greatest Common Factor of 23616 and 23625?

Greatest common factor (GCF) of 23616 and 23625 is 9.

GCF(23616,23625) = 9

We will now calculate the prime factors of 23616 and 23625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23616 and 23625.

How to find the GCF of 23616 and 23625?

We will first find the prime factorization of 23616 and 23625. After we will calculate the factors of 23616 and 23625 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 23625

Prime factors of 23625 are 3, 5, 7. Prime factorization of 23625 in exponential form is:

23625 = 3³ × 5³ × 7¹

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 23625

List of positive integer factors of 23625 that divides 23616 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 125, 135, 175, 189, 225, 315, 375, 525, 675, 875, 945, 1125, 1575, 2625, 3375, 4725, 7875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23616 and 23625. The biggest common factor number is the GCF number.
So the greatest common factor 23616 and 23625 is 9.

Also check out the Least Common Multiple of 23616 and 23625