What is the Greatest Common Factor of 23085 and 23102?

Greatest common factor (GCF) of 23085 and 23102 is 1.

GCF(23085,23102) = 1

We will now calculate the prime factors of 23085 and 23102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23085 and 23102.

How to find the GCF of 23085 and 23102?

We will first find the prime factorization of 23085 and 23102. After we will calculate the factors of 23085 and 23102 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 23102

Prime factors of 23102 are 2, 11551. Prime factorization of 23102 in exponential form is:

23102 = 2¹ × 11551¹

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 23102

List of positive integer factors of 23102 that divides 23085 without a remainder.

1, 2, 11551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23085 and 23102. The biggest common factor number is the GCF number.
So the greatest common factor 23085 and 23102 is 1.

Also check out the Least Common Multiple of 23085 and 23102