What is the Greatest Common Factor of 96160 and 96180?

Greatest common factor (GCF) of 96160 and 96180 is 20.

GCF(96160,96180) = 20

We will now calculate the prime factors of 96160 and 96180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96160 and 96180.

How to find the GCF of 96160 and 96180?

We will first find the prime factorization of 96160 and 96180. After we will calculate the factors of 96160 and 96180 and find the biggest common factor number .

Step-1: Prime Factorization of 96160

Prime factors of 96160 are 2, 5, 601. Prime factorization of 96160 in exponential form is:

96160 = 2⁵ × 5¹ × 601¹

Step-2: 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-3: Factors of 96160

List of positive integer factors of 96160 that divides 96160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 601, 1202, 2404, 3005, 4808, 6010, 9616, 12020, 19232, 24040, 48080

Step-4: Factors of 96180

List of positive integer factors of 96180 that divides 96160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96160 and 96180. The biggest common factor number is the GCF number.
So the greatest common factor 96160 and 96180 is 20.

Also check out the Least Common Multiple of 96160 and 96180