What is the Greatest Common Factor of 23600 and 23606?

Greatest common factor (GCF) of 23600 and 23606 is 2.

GCF(23600,23606) = 2

We will now calculate the prime factors of 23600 and 23606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23600 and 23606.

How to find the GCF of 23600 and 23606?

We will first find the prime factorization of 23600 and 23606. After we will calculate the factors of 23600 and 23606 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 23606

Prime factors of 23606 are 2, 11, 29, 37. Prime factorization of 23606 in exponential form is:

23606 = 2¹ × 11¹ × 29¹ × 37¹

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 23606

List of positive integer factors of 23606 that divides 23600 without a remainder.

1, 2, 11, 22, 29, 37, 58, 74, 319, 407, 638, 814, 1073, 2146, 11803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23600 and 23606. The biggest common factor number is the GCF number.
So the greatest common factor 23600 and 23606 is 2.

Also check out the Least Common Multiple of 23600 and 23606