What is the Greatest Common Factor of 23584 and 23591?

Greatest common factor (GCF) of 23584 and 23591 is 1.

GCF(23584,23591) = 1

We will now calculate the prime factors of 23584 and 23591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23584 and 23591.

How to find the GCF of 23584 and 23591?

We will first find the prime factorization of 23584 and 23591. After we will calculate the factors of 23584 and 23591 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 23591

Prime factors of 23591 are 31, 761. Prime factorization of 23591 in exponential form is:

23591 = 31¹ × 761¹

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 23591

List of positive integer factors of 23591 that divides 23584 without a remainder.

1, 31, 761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23584 and 23591. The biggest common factor number is the GCF number.
So the greatest common factor 23584 and 23591 is 1.

Also check out the Least Common Multiple of 23584 and 23591