What is the Greatest Common Factor of 96186 and 96200?

Greatest common factor (GCF) of 96186 and 96200 is 2.

GCF(96186,96200) = 2

We will now calculate the prime factors of 96186 and 96200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96186 and 96200.

How to find the GCF of 96186 and 96200?

We will first find the prime factorization of 96186 and 96200. After we will calculate the factors of 96186 and 96200 and find the biggest common factor number .

Step-1: Prime Factorization of 96186

Prime factors of 96186 are 2, 3, 17, 23, 41. Prime factorization of 96186 in exponential form is:

96186 = 2¹ × 3¹ × 17¹ × 23¹ × 41¹

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 96186

List of positive integer factors of 96186 that divides 96186 without a remainder.

1, 2, 3, 6, 17, 23, 34, 41, 46, 51, 69, 82, 102, 123, 138, 246, 391, 697, 782, 943, 1173, 1394, 1886, 2091, 2346, 2829, 4182, 5658, 16031, 32062, 48093

Step-4: Factors of 96200

List of positive integer factors of 96200 that divides 96186 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 96186 and 96200. The biggest common factor number is the GCF number.
So the greatest common factor 96186 and 96200 is 2.

Also check out the Least Common Multiple of 96186 and 96200