What is the Greatest Common Factor of 95184 and 95202?

Greatest common factor (GCF) of 95184 and 95202 is 18.

GCF(95184,95202) = 18

We will now calculate the prime factors of 95184 and 95202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95184 and 95202.

How to find the GCF of 95184 and 95202?

We will first find the prime factorization of 95184 and 95202. After we will calculate the factors of 95184 and 95202 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95202

Prime factors of 95202 are 2, 3, 41, 43. Prime factorization of 95202 in exponential form is:

95202 = 2¹ × 3³ × 41¹ × 43¹

Step-3: Factors of 95184

List of positive integer factors of 95184 that divides 95184 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

Step-4: Factors of 95202

List of positive integer factors of 95202 that divides 95184 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 43, 54, 82, 86, 123, 129, 246, 258, 369, 387, 738, 774, 1107, 1161, 1763, 2214, 2322, 3526, 5289, 10578, 15867, 31734, 47601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95184 and 95202. The biggest common factor number is the GCF number.
So the greatest common factor 95184 and 95202 is 18.

Also check out the Least Common Multiple of 95184 and 95202