What is the Greatest Common Factor of 95166 and 95184?

Greatest common factor (GCF) of 95166 and 95184 is 18.

GCF(95166,95184) = 18

We will now calculate the prime factors of 95166 and 95184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95166 and 95184.

How to find the GCF of 95166 and 95184?

We will first find the prime factorization of 95166 and 95184. After we will calculate the factors of 95166 and 95184 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95184

Prime factors of 95184 are 2, 3, 661. Prime factorization of 95184 in exponential form is:

95184 = 2⁴ × 3² × 661¹

Step-3: Factors of 95166

List of positive integer factors of 95166 that divides 95166 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

Step-4: Factors of 95184

List of positive integer factors of 95184 that divides 95166 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 661, 1322, 1983, 2644, 3966, 5288, 5949, 7932, 10576, 11898, 15864, 23796, 31728, 47592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95166 and 95184. The biggest common factor number is the GCF number.
So the greatest common factor 95166 and 95184 is 18.

Also check out the Least Common Multiple of 95166 and 95184