What is the Greatest Common Factor of 23577 and 23584?

Greatest common factor (GCF) of 23577 and 23584 is 1.

GCF(23577,23584) = 1

We will now calculate the prime factors of 23577 and 23584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23577 and 23584.

How to find the GCF of 23577 and 23584?

We will first find the prime factorization of 23577 and 23584. After we will calculate the factors of 23577 and 23584 and find the biggest common factor number .

Step-1: Prime Factorization of 23577

Prime factors of 23577 are 3, 29, 271. Prime factorization of 23577 in exponential form is:

23577 = 3¹ × 29¹ × 271¹

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 23577

List of positive integer factors of 23577 that divides 23577 without a remainder.

1, 3, 29, 87, 271, 813, 7859

Step-4: Factors of 23584

List of positive integer factors of 23584 that divides 23577 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 23577 and 23584. The biggest common factor number is the GCF number.
So the greatest common factor 23577 and 23584 is 1.

Also check out the Least Common Multiple of 23577 and 23584