What is the Greatest Common Factor of 23180 and 23185?

Greatest common factor (GCF) of 23180 and 23185 is 5.

GCF(23180,23185) = 5

We will now calculate the prime factors of 23180 and 23185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23180 and 23185.

How to find the GCF of 23180 and 23185?

We will first find the prime factorization of 23180 and 23185. After we will calculate the factors of 23180 and 23185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23185

Prime factors of 23185 are 5, 4637. Prime factorization of 23185 in exponential form is:

23185 = 5¹ × 4637¹

Step-3: Factors of 23180

List of positive integer factors of 23180 that divides 23180 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

Step-4: Factors of 23185

List of positive integer factors of 23185 that divides 23180 without a remainder.

1, 5, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23180 and 23185. The biggest common factor number is the GCF number.
So the greatest common factor 23180 and 23185 is 5.

Also check out the Least Common Multiple of 23180 and 23185