What is the Greatest Common Factor of 16146 and 16166?

Greatest common factor (GCF) of 16146 and 16166 is 2.

GCF(16146,16166) = 2

We will now calculate the prime factors of 16146 and 16166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16146 and 16166.

How to find the GCF of 16146 and 16166?

We will first find the prime factorization of 16146 and 16166. After we will calculate the factors of 16146 and 16166 and find the biggest common factor number .

Step-1: Prime Factorization of 16146

Prime factors of 16146 are 2, 3, 13, 23. Prime factorization of 16146 in exponential form is:

16146 = 2¹ × 3³ × 13¹ × 23¹

Step-2: Prime Factorization of 16166

Prime factors of 16166 are 2, 59, 137. Prime factorization of 16166 in exponential form is:

16166 = 2¹ × 59¹ × 137¹

Step-3: Factors of 16146

List of positive integer factors of 16146 that divides 16146 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 117, 138, 207, 234, 299, 351, 414, 598, 621, 702, 897, 1242, 1794, 2691, 5382, 8073

Step-4: Factors of 16166

List of positive integer factors of 16166 that divides 16146 without a remainder.

1, 2, 59, 118, 137, 274, 8083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16146 and 16166. The biggest common factor number is the GCF number.
So the greatest common factor 16146 and 16166 is 2.

Also check out the Least Common Multiple of 16146 and 16166