What is the Greatest Common Factor of 23589 and 23600?

Greatest common factor (GCF) of 23589 and 23600 is 1.

GCF(23589,23600) = 1

We will now calculate the prime factors of 23589 and 23600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23589 and 23600.

How to find the GCF of 23589 and 23600?

We will first find the prime factorization of 23589 and 23600. After we will calculate the factors of 23589 and 23600 and find the biggest common factor number .

Step-1: Prime Factorization of 23589

Prime factors of 23589 are 3, 2621. Prime factorization of 23589 in exponential form is:

23589 = 3² × 2621¹

Step-2: 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-3: Factors of 23589

List of positive integer factors of 23589 that divides 23589 without a remainder.

1, 3, 9, 2621, 7863

Step-4: Factors of 23600

List of positive integer factors of 23600 that divides 23589 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23589 and 23600. The biggest common factor number is the GCF number.
So the greatest common factor 23589 and 23600 is 1.

Also check out the Least Common Multiple of 23589 and 23600