What is the Greatest Common Factor of 96180 and 96194?

Greatest common factor (GCF) of 96180 and 96194 is 14.

GCF(96180,96194) = 14

We will now calculate the prime factors of 96180 and 96194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96180 and 96194.

How to find the GCF of 96180 and 96194?

We will first find the prime factorization of 96180 and 96194. After we will calculate the factors of 96180 and 96194 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 96194

Prime factors of 96194 are 2, 7, 6871. Prime factorization of 96194 in exponential form is:

96194 = 2¹ × 7¹ × 6871¹

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 96194

List of positive integer factors of 96194 that divides 96180 without a remainder.

1, 2, 7, 14, 6871, 13742, 48097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96180 and 96194. The biggest common factor number is the GCF number.
So the greatest common factor 96180 and 96194 is 14.

Also check out the Least Common Multiple of 96180 and 96194