What is the Greatest Common Factor of 23584 and 23589?

Greatest common factor (GCF) of 23584 and 23589 is 1.

GCF(23584,23589) = 1

We will now calculate the prime factors of 23584 and 23589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23584 and 23589.

How to find the GCF of 23584 and 23589?

We will first find the prime factorization of 23584 and 23589. After we will calculate the factors of 23584 and 23589 and find the biggest common factor number .

Step-1: Prime Factorization of 23584

Prime factors of 23584 are 2, 11, 67. Prime factorization of 23584 in exponential form is:

23584 = 2⁵ × 11¹ × 67¹

Step-2: Prime Factorization of 23589

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

23589 = 3² × 2621¹

Step-3: Factors of 23584

List of positive integer factors of 23584 that divides 23584 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 67, 88, 134, 176, 268, 352, 536, 737, 1072, 1474, 2144, 2948, 5896, 11792

Step-4: Factors of 23589

List of positive integer factors of 23589 that divides 23584 without a remainder.

1, 3, 9, 2621, 7863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23584 and 23589. The biggest common factor number is the GCF number.
So the greatest common factor 23584 and 23589 is 1.

Also check out the Least Common Multiple of 23584 and 23589