What is the Greatest Common Factor of 23085 and 23097?

Greatest common factor (GCF) of 23085 and 23097 is 3.

GCF(23085,23097) = 3

We will now calculate the prime factors of 23085 and 23097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23085 and 23097.

How to find the GCF of 23085 and 23097?

We will first find the prime factorization of 23085 and 23097. After we will calculate the factors of 23085 and 23097 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 23097

Prime factors of 23097 are 3, 7699. Prime factorization of 23097 in exponential form is:

23097 = 3¹ × 7699¹

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 23097

List of positive integer factors of 23097 that divides 23085 without a remainder.

1, 3, 7699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23085 and 23097. The biggest common factor number is the GCF number.
So the greatest common factor 23085 and 23097 is 3.

Also check out the Least Common Multiple of 23085 and 23097