What is the Greatest Common Factor of 12180 and 12191?

Greatest common factor (GCF) of 12180 and 12191 is 1.

GCF(12180,12191) = 1

We will now calculate the prime factors of 12180 and 12191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12180 and 12191.

How to find the GCF of 12180 and 12191?

We will first find the prime factorization of 12180 and 12191. After we will calculate the factors of 12180 and 12191 and find the biggest common factor number .

Step-1: Prime Factorization of 12180

Prime factors of 12180 are 2, 3, 5, 7, 29. Prime factorization of 12180 in exponential form is:

12180 = 2² × 3¹ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 12191

Prime factors of 12191 are 73, 167. Prime factorization of 12191 in exponential form is:

12191 = 73¹ × 167¹

Step-3: Factors of 12180

List of positive integer factors of 12180 that divides 12180 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090

Step-4: Factors of 12191

List of positive integer factors of 12191 that divides 12180 without a remainder.

1, 73, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12180 and 12191. The biggest common factor number is the GCF number.
So the greatest common factor 12180 and 12191 is 1.

Also check out the Least Common Multiple of 12180 and 12191