What is the Greatest Common Factor of 18146 and 18166?

Greatest common factor (GCF) of 18146 and 18166 is 2.

GCF(18146,18166) = 2

We will now calculate the prime factors of 18146 and 18166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18146 and 18166.

How to find the GCF of 18146 and 18166?

We will first find the prime factorization of 18146 and 18166. After we will calculate the factors of 18146 and 18166 and find the biggest common factor number .

Step-1: Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 2¹ × 43¹ × 211¹

Step-2: Prime Factorization of 18166

Prime factors of 18166 are 2, 31, 293. Prime factorization of 18166 in exponential form is:

18166 = 2¹ × 31¹ × 293¹

Step-3: Factors of 18146

List of positive integer factors of 18146 that divides 18146 without a remainder.

1, 2, 43, 86, 211, 422, 9073

Step-4: Factors of 18166

List of positive integer factors of 18166 that divides 18146 without a remainder.

1, 2, 31, 62, 293, 586, 9083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18146 and 18166. The biggest common factor number is the GCF number.
So the greatest common factor 18146 and 18166 is 2.

Also check out the Least Common Multiple of 18146 and 18166