What is the Greatest Common Factor of 12171 and 12180?

Greatest common factor (GCF) of 12171 and 12180 is 3.

GCF(12171,12180) = 3

We will now calculate the prime factors of 12171 and 12180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12171 and 12180.

How to find the GCF of 12171 and 12180?

We will first find the prime factorization of 12171 and 12180. After we will calculate the factors of 12171 and 12180 and find the biggest common factor number .

Step-1: Prime Factorization of 12171

Prime factors of 12171 are 3, 4057. Prime factorization of 12171 in exponential form is:

12171 = 3¹ × 4057¹

Step-2: 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-3: Factors of 12171

List of positive integer factors of 12171 that divides 12171 without a remainder.

1, 3, 4057

Step-4: Factors of 12180

List of positive integer factors of 12180 that divides 12171 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12171 and 12180. The biggest common factor number is the GCF number.
So the greatest common factor 12171 and 12180 is 3.

Also check out the Least Common Multiple of 12171 and 12180