What is the Greatest Common Factor of 23569 and 23584?

Greatest common factor (GCF) of 23569 and 23584 is 1.

GCF(23569,23584) = 1

We will now calculate the prime factors of 23569 and 23584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23569 and 23584.

How to find the GCF of 23569 and 23584?

We will first find the prime factorization of 23569 and 23584. After we will calculate the factors of 23569 and 23584 and find the biggest common factor number .

Step-1: Prime Factorization of 23569

Prime factors of 23569 are 7, 13, 37. Prime factorization of 23569 in exponential form is:

23569 = 7² × 13¹ × 37¹

Step-2: 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-3: Factors of 23569

List of positive integer factors of 23569 that divides 23569 without a remainder.

1, 7, 13, 37, 49, 91, 259, 481, 637, 1813, 3367

Step-4: Factors of 23584

List of positive integer factors of 23584 that divides 23569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23569 and 23584. The biggest common factor number is the GCF number.
So the greatest common factor 23569 and 23584 is 1.

Also check out the Least Common Multiple of 23569 and 23584