What is the Greatest Common Factor of 96180 and 96195?

Greatest common factor (GCF) of 96180 and 96195 is 15.

GCF(96180,96195) = 15

We will now calculate the prime factors of 96180 and 96195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96180 and 96195.

How to find the GCF of 96180 and 96195?

We will first find the prime factorization of 96180 and 96195. After we will calculate the factors of 96180 and 96195 and find the biggest common factor number .

Step-1: Prime Factorization of 96180

Prime factors of 96180 are 2, 3, 5, 7, 229. Prime factorization of 96180 in exponential form is:

96180 = 2² × 3¹ × 5¹ × 7¹ × 229¹

Step-2: Prime Factorization of 96195

Prime factors of 96195 are 3, 5, 11, 53. Prime factorization of 96195 in exponential form is:

96195 = 3¹ × 5¹ × 11² × 53¹

Step-3: Factors of 96180

List of positive integer factors of 96180 that divides 96180 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 229, 420, 458, 687, 916, 1145, 1374, 1603, 2290, 2748, 3206, 3435, 4580, 4809, 6412, 6870, 8015, 9618, 13740, 16030, 19236, 24045, 32060, 48090

Step-4: Factors of 96195

List of positive integer factors of 96195 that divides 96180 without a remainder.

1, 3, 5, 11, 15, 33, 53, 55, 121, 159, 165, 265, 363, 583, 605, 795, 1749, 1815, 2915, 6413, 8745, 19239, 32065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96180 and 96195. The biggest common factor number is the GCF number.
So the greatest common factor 96180 and 96195 is 15.

Also check out the Least Common Multiple of 96180 and 96195