What is the Greatest Common Factor of 23085 and 23090?

Greatest common factor (GCF) of 23085 and 23090 is 5.

GCF(23085,23090) = 5

We will now calculate the prime factors of 23085 and 23090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23085 and 23090.

How to find the GCF of 23085 and 23090?

We will first find the prime factorization of 23085 and 23090. After we will calculate the factors of 23085 and 23090 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 23090

Prime factors of 23090 are 2, 5, 2309. Prime factorization of 23090 in exponential form is:

23090 = 2¹ × 5¹ × 2309¹

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 23090

List of positive integer factors of 23090 that divides 23085 without a remainder.

1, 2, 5, 10, 2309, 4618, 11545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23085 and 23090. The biggest common factor number is the GCF number.
So the greatest common factor 23085 and 23090 is 5.

Also check out the Least Common Multiple of 23085 and 23090