What is the Greatest Common Factor of 96180 and 96185?

Greatest common factor (GCF) of 96180 and 96185 is 5.

GCF(96180,96185) = 5

We will now calculate the prime factors of 96180 and 96185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96180 and 96185.

How to find the GCF of 96180 and 96185?

We will first find the prime factorization of 96180 and 96185. After we will calculate the factors of 96180 and 96185 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 96185

Prime factors of 96185 are 5, 19237. Prime factorization of 96185 in exponential form is:

96185 = 5¹ × 19237¹

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 96185

List of positive integer factors of 96185 that divides 96180 without a remainder.

1, 5, 19237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96180 and 96185. The biggest common factor number is the GCF number.
So the greatest common factor 96180 and 96185 is 5.

Also check out the Least Common Multiple of 96180 and 96185