What is the Greatest Common Factor of 17146 and 17166?

Greatest common factor (GCF) of 17146 and 17166 is 2.

GCF(17146,17166) = 2

We will now calculate the prime factors of 17146 and 17166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17146 and 17166.

How to find the GCF of 17146 and 17166?

We will first find the prime factorization of 17146 and 17166. After we will calculate the factors of 17146 and 17166 and find the biggest common factor number .

Step-1: Prime Factorization of 17146

Prime factors of 17146 are 2, 8573. Prime factorization of 17146 in exponential form is:

17146 = 2¹ × 8573¹

Step-2: Prime Factorization of 17166

Prime factors of 17166 are 2, 3, 2861. Prime factorization of 17166 in exponential form is:

17166 = 2¹ × 3¹ × 2861¹

Step-3: Factors of 17146

List of positive integer factors of 17146 that divides 17146 without a remainder.

1, 2, 8573

Step-4: Factors of 17166

List of positive integer factors of 17166 that divides 17146 without a remainder.

1, 2, 3, 6, 2861, 5722, 8583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17146 and 17166. The biggest common factor number is the GCF number.
So the greatest common factor 17146 and 17166 is 2.

Also check out the Least Common Multiple of 17146 and 17166