What is the Greatest Common Factor of 95149 and 95166?

Greatest common factor (GCF) of 95149 and 95166 is 17.

GCF(95149,95166) = 17

We will now calculate the prime factors of 95149 and 95166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95149 and 95166.

How to find the GCF of 95149 and 95166?

We will first find the prime factorization of 95149 and 95166. After we will calculate the factors of 95149 and 95166 and find the biggest common factor number .

Step-1: Prime Factorization of 95149

Prime factors of 95149 are 17, 29, 193. Prime factorization of 95149 in exponential form is:

95149 = 17¹ × 29¹ × 193¹

Step-2: Prime Factorization of 95166

Prime factors of 95166 are 2, 3, 17, 311. Prime factorization of 95166 in exponential form is:

95166 = 2¹ × 3² × 17¹ × 311¹

Step-3: Factors of 95149

List of positive integer factors of 95149 that divides 95149 without a remainder.

1, 17, 29, 193, 493, 3281, 5597

Step-4: Factors of 95166

List of positive integer factors of 95166 that divides 95149 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306, 311, 622, 933, 1866, 2799, 5287, 5598, 10574, 15861, 31722, 47583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95149 and 95166. The biggest common factor number is the GCF number.
So the greatest common factor 95149 and 95166 is 17.

Also check out the Least Common Multiple of 95149 and 95166