What is the Greatest Common Factor of 38146 and 38166?

Greatest common factor (GCF) of 38146 and 38166 is 2.

GCF(38146,38166) = 2

We will now calculate the prime factors of 38146 and 38166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38146 and 38166.

How to find the GCF of 38146 and 38166?

We will first find the prime factorization of 38146 and 38166. After we will calculate the factors of 38146 and 38166 and find the biggest common factor number .

Step-1: Prime Factorization of 38146

Prime factors of 38146 are 2, 19073. Prime factorization of 38146 in exponential form is:

38146 = 2¹ × 19073¹

Step-2: Prime Factorization of 38166

Prime factors of 38166 are 2, 3, 6361. Prime factorization of 38166 in exponential form is:

38166 = 2¹ × 3¹ × 6361¹

Step-3: Factors of 38146

List of positive integer factors of 38146 that divides 38146 without a remainder.

1, 2, 19073

Step-4: Factors of 38166

List of positive integer factors of 38166 that divides 38146 without a remainder.

1, 2, 3, 6, 6361, 12722, 19083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38146 and 38166. The biggest common factor number is the GCF number.
So the greatest common factor 38146 and 38166 is 2.

Also check out the Least Common Multiple of 38146 and 38166