What is the Greatest Common Factor of 12159 and 12171?

Greatest common factor (GCF) of 12159 and 12171 is 3.

GCF(12159,12171) = 3

We will now calculate the prime factors of 12159 and 12171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12159 and 12171.

How to find the GCF of 12159 and 12171?

We will first find the prime factorization of 12159 and 12171. After we will calculate the factors of 12159 and 12171 and find the biggest common factor number .

Step-1: Prime Factorization of 12159

Prime factors of 12159 are 3, 7, 193. Prime factorization of 12159 in exponential form is:

12159 = 3² × 7¹ × 193¹

Step-2: Prime Factorization of 12171

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

12171 = 3¹ × 4057¹

Step-3: Factors of 12159

List of positive integer factors of 12159 that divides 12159 without a remainder.

1, 3, 7, 9, 21, 63, 193, 579, 1351, 1737, 4053

Step-4: Factors of 12171

List of positive integer factors of 12171 that divides 12159 without a remainder.

1, 3, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12159 and 12171. The biggest common factor number is the GCF number.
So the greatest common factor 12159 and 12171 is 3.

Also check out the Least Common Multiple of 12159 and 12171