What is the Greatest Common Factor of 17151 and 17166?

Greatest common factor (GCF) of 17151 and 17166 is 3.

GCF(17151,17166) = 3

We will now calculate the prime factors of 17151 and 17166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17151 and 17166.

How to find the GCF of 17151 and 17166?

We will first find the prime factorization of 17151 and 17166. After we will calculate the factors of 17151 and 17166 and find the biggest common factor number .

Step-1: Prime Factorization of 17151

Prime factors of 17151 are 3, 5717. Prime factorization of 17151 in exponential form is:

17151 = 3¹ × 5717¹

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 17151

List of positive integer factors of 17151 that divides 17151 without a remainder.

1, 3, 5717

Step-4: Factors of 17166

List of positive integer factors of 17166 that divides 17151 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17151 and 17166. The biggest common factor number is the GCF number.
So the greatest common factor 17151 and 17166 is 3.

Also check out the Least Common Multiple of 17151 and 17166