What is the Greatest Common Factor of 23577 and 23593?

Greatest common factor (GCF) of 23577 and 23593 is 1.

GCF(23577,23593) = 1

We will now calculate the prime factors of 23577 and 23593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23577 and 23593.

How to find the GCF of 23577 and 23593?

We will first find the prime factorization of 23577 and 23593. After we will calculate the factors of 23577 and 23593 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 23593

Prime factors of 23593 are 23593. Prime factorization of 23593 in exponential form is:

23593 = 23593¹

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 23593

List of positive integer factors of 23593 that divides 23577 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23577 and 23593. The biggest common factor number is the GCF number.
So the greatest common factor 23577 and 23593 is 1.

Also check out the Least Common Multiple of 23577 and 23593