What is the Greatest Common Factor of 96180 and 96200?

Greatest common factor (GCF) of 96180 and 96200 is 20.

GCF(96180,96200) = 20

We will now calculate the prime factors of 96180 and 96200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96180 and 96200.

How to find the GCF of 96180 and 96200?

We will first find the prime factorization of 96180 and 96200. After we will calculate the factors of 96180 and 96200 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 96200

Prime factors of 96200 are 2, 5, 13, 37. Prime factorization of 96200 in exponential form is:

96200 = 2³ × 5² × 13¹ × 37¹

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 96200

List of positive integer factors of 96200 that divides 96180 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 37, 40, 50, 52, 65, 74, 100, 104, 130, 148, 185, 200, 260, 296, 325, 370, 481, 520, 650, 740, 925, 962, 1300, 1480, 1850, 1924, 2405, 2600, 3700, 3848, 4810, 7400, 9620, 12025, 19240, 24050, 48100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96180 and 96200. The biggest common factor number is the GCF number.
So the greatest common factor 96180 and 96200 is 20.

Also check out the Least Common Multiple of 96180 and 96200