What is the Greatest Common Factor of 95184 and 95196?

Greatest common factor (GCF) of 95184 and 95196 is 12.

GCF(95184,95196) = 12

We will now calculate the prime factors of 95184 and 95196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95184 and 95196.

How to find the GCF of 95184 and 95196?

We will first find the prime factorization of 95184 and 95196. After we will calculate the factors of 95184 and 95196 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 95196

Prime factors of 95196 are 2, 3, 7933. Prime factorization of 95196 in exponential form is:

95196 = 2² × 3¹ × 7933¹

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 95196

List of positive integer factors of 95196 that divides 95184 without a remainder.

1, 2, 3, 4, 6, 12, 7933, 15866, 23799, 31732, 47598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95184 and 95196. The biggest common factor number is the GCF number.
So the greatest common factor 95184 and 95196 is 12.

Also check out the Least Common Multiple of 95184 and 95196