What is the Greatest Common Factor of 12159 and 12174?

Greatest common factor (GCF) of 12159 and 12174 is 3.

GCF(12159,12174) = 3

We will now calculate the prime factors of 12159 and 12174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12159 and 12174.

How to find the GCF of 12159 and 12174?

We will first find the prime factorization of 12159 and 12174. After we will calculate the factors of 12159 and 12174 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 12174

Prime factors of 12174 are 2, 3, 2029. Prime factorization of 12174 in exponential form is:

12174 = 2¹ × 3¹ × 2029¹

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 12174

List of positive integer factors of 12174 that divides 12159 without a remainder.

1, 2, 3, 6, 2029, 4058, 6087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12159 and 12174. The biggest common factor number is the GCF number.
So the greatest common factor 12159 and 12174 is 3.

Also check out the Least Common Multiple of 12159 and 12174