What is the Greatest Common Factor of 95184 and 95199?

Greatest common factor (GCF) of 95184 and 95199 is 3.

GCF(95184,95199) = 3

We will now calculate the prime factors of 95184 and 95199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95184 and 95199.

How to find the GCF of 95184 and 95199?

We will first find the prime factorization of 95184 and 95199. After we will calculate the factors of 95184 and 95199 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 95199

Prime factors of 95199 are 3, 13, 2441. Prime factorization of 95199 in exponential form is:

95199 = 3¹ × 13¹ × 2441¹

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 95199

List of positive integer factors of 95199 that divides 95184 without a remainder.

1, 3, 13, 39, 2441, 7323, 31733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95184 and 95199. The biggest common factor number is the GCF number.
So the greatest common factor 95184 and 95199 is 3.

Also check out the Least Common Multiple of 95184 and 95199