What is the Greatest Common Factor of 23180 and 23186?

Greatest common factor (GCF) of 23180 and 23186 is 2.

GCF(23180,23186) = 2

We will now calculate the prime factors of 23180 and 23186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23180 and 23186.

How to find the GCF of 23180 and 23186?

We will first find the prime factorization of 23180 and 23186. After we will calculate the factors of 23180 and 23186 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 23186

Prime factors of 23186 are 2, 11593. Prime factorization of 23186 in exponential form is:

23186 = 2¹ × 11593¹

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 23186

List of positive integer factors of 23186 that divides 23180 without a remainder.

1, 2, 11593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23180 and 23186. The biggest common factor number is the GCF number.
So the greatest common factor 23180 and 23186 is 2.

Also check out the Least Common Multiple of 23180 and 23186