What is the Greatest Common Factor of 12159 and 12166?

Greatest common factor (GCF) of 12159 and 12166 is 7.

GCF(12159,12166) = 7

We will now calculate the prime factors of 12159 and 12166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12159 and 12166.

How to find the GCF of 12159 and 12166?

We will first find the prime factorization of 12159 and 12166. After we will calculate the factors of 12159 and 12166 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 12166

Prime factors of 12166 are 2, 7, 11, 79. Prime factorization of 12166 in exponential form is:

12166 = 2¹ × 7¹ × 11¹ × 79¹

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 12166

List of positive integer factors of 12166 that divides 12159 without a remainder.

1, 2, 7, 11, 14, 22, 77, 79, 154, 158, 553, 869, 1106, 1738, 6083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12159 and 12166. The biggest common factor number is the GCF number.
So the greatest common factor 12159 and 12166 is 7.

Also check out the Least Common Multiple of 12159 and 12166