What is the Greatest Common Factor of 12166 and 12173?

Greatest common factor (GCF) of 12166 and 12173 is 7.

GCF(12166,12173) = 7

We will now calculate the prime factors of 12166 and 12173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12166 and 12173.

How to find the GCF of 12166 and 12173?

We will first find the prime factorization of 12166 and 12173. After we will calculate the factors of 12166 and 12173 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12173

Prime factors of 12173 are 7, 37, 47. Prime factorization of 12173 in exponential form is:

12173 = 7¹ × 37¹ × 47¹

Step-3: Factors of 12166

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

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

Step-4: Factors of 12173

List of positive integer factors of 12173 that divides 12166 without a remainder.

1, 7, 37, 47, 259, 329, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12166 and 12173. The biggest common factor number is the GCF number.
So the greatest common factor 12166 and 12173 is 7.

Also check out the Least Common Multiple of 12166 and 12173