What is the Greatest Common Factor of 12177 and 12183?

Greatest common factor (GCF) of 12177 and 12183 is 3.

GCF(12177,12183) = 3

We will now calculate the prime factors of 12177 and 12183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12177 and 12183.

How to find the GCF of 12177 and 12183?

We will first find the prime factorization of 12177 and 12183. After we will calculate the factors of 12177 and 12183 and find the biggest common factor number .

Step-1: Prime Factorization of 12177

Prime factors of 12177 are 3, 11, 41. Prime factorization of 12177 in exponential form is:

12177 = 3³ × 11¹ × 41¹

Step-2: Prime Factorization of 12183

Prime factors of 12183 are 3, 31, 131. Prime factorization of 12183 in exponential form is:

12183 = 3¹ × 31¹ × 131¹

Step-3: Factors of 12177

List of positive integer factors of 12177 that divides 12177 without a remainder.

1, 3, 9, 11, 27, 33, 41, 99, 123, 297, 369, 451, 1107, 1353, 4059

Step-4: Factors of 12183

List of positive integer factors of 12183 that divides 12177 without a remainder.

1, 3, 31, 93, 131, 393, 4061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12177 and 12183. The biggest common factor number is the GCF number.
So the greatest common factor 12177 and 12183 is 3.

Also check out the Least Common Multiple of 12177 and 12183