What is the Greatest Common Factor of 23175 and 23180?

Greatest common factor (GCF) of 23175 and 23180 is 5.

GCF(23175,23180) = 5

We will now calculate the prime factors of 23175 and 23180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23175 and 23180.

How to find the GCF of 23175 and 23180?

We will first find the prime factorization of 23175 and 23180. After we will calculate the factors of 23175 and 23180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23180

Prime factors of 23180 are 2, 5, 19, 61. Prime factorization of 23180 in exponential form is:

23180 = 2² × 5¹ × 19¹ × 61¹

Step-3: Factors of 23175

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

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

Step-4: Factors of 23180

List of positive integer factors of 23180 that divides 23175 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 61, 76, 95, 122, 190, 244, 305, 380, 610, 1159, 1220, 2318, 4636, 5795, 11590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23175 and 23180. The biggest common factor number is the GCF number.
So the greatest common factor 23175 and 23180 is 5.

Also check out the Least Common Multiple of 23175 and 23180