What is the Greatest Common Factor of 23165 and 23175?

Greatest common factor (GCF) of 23165 and 23175 is 5.

GCF(23165,23175) = 5

We will now calculate the prime factors of 23165 and 23175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23165 and 23175.

How to find the GCF of 23165 and 23175?

We will first find the prime factorization of 23165 and 23175. After we will calculate the factors of 23165 and 23175 and find the biggest common factor number .

Step-1: Prime Factorization of 23165

Prime factors of 23165 are 5, 41, 113. Prime factorization of 23165 in exponential form is:

23165 = 5¹ × 41¹ × 113¹

Step-2: Prime Factorization of 23175

Prime factors of 23175 are 3, 5, 103. Prime factorization of 23175 in exponential form is:

23175 = 3² × 5² × 103¹

Step-3: Factors of 23165

List of positive integer factors of 23165 that divides 23165 without a remainder.

1, 5, 41, 113, 205, 565, 4633

Step-4: Factors of 23175

List of positive integer factors of 23175 that divides 23165 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 103, 225, 309, 515, 927, 1545, 2575, 4635, 7725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23165 and 23175. The biggest common factor number is the GCF number.
So the greatest common factor 23165 and 23175 is 5.

Also check out the Least Common Multiple of 23165 and 23175