What is the Greatest Common Factor of 23085 and 23093?

Greatest common factor (GCF) of 23085 and 23093 is 1.

GCF(23085,23093) = 1

We will now calculate the prime factors of 23085 and 23093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23085 and 23093.

How to find the GCF of 23085 and 23093?

We will first find the prime factorization of 23085 and 23093. After we will calculate the factors of 23085 and 23093 and find the biggest common factor number .

Step-1: Prime Factorization of 23085

Prime factors of 23085 are 3, 5, 19. Prime factorization of 23085 in exponential form is:

23085 = 3⁵ × 5¹ × 19¹

Step-2: Prime Factorization of 23093

Prime factors of 23093 are 7, 3299. Prime factorization of 23093 in exponential form is:

23093 = 7¹ × 3299¹

Step-3: Factors of 23085

List of positive integer factors of 23085 that divides 23085 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 243, 285, 405, 513, 855, 1215, 1539, 2565, 4617, 7695

Step-4: Factors of 23093

List of positive integer factors of 23093 that divides 23085 without a remainder.

1, 7, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23085 and 23093. The biggest common factor number is the GCF number.
So the greatest common factor 23085 and 23093 is 1.

Also check out the Least Common Multiple of 23085 and 23093