What is the Greatest Common Factor of 96300 and 96318?

Greatest common factor (GCF) of 96300 and 96318 is 18.

GCF(96300,96318) = 18

We will now calculate the prime factors of 96300 and 96318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96300 and 96318.

How to find the GCF of 96300 and 96318?

We will first find the prime factorization of 96300 and 96318. After we will calculate the factors of 96300 and 96318 and find the biggest common factor number .

Step-1: Prime Factorization of 96300

Prime factors of 96300 are 2, 3, 5, 107. Prime factorization of 96300 in exponential form is:

96300 = 2² × 3² × 5² × 107¹

Step-2: Prime Factorization of 96318

Prime factors of 96318 are 2, 3, 5351. Prime factorization of 96318 in exponential form is:

96318 = 2¹ × 3² × 5351¹

Step-3: Factors of 96300

List of positive integer factors of 96300 that divides 96300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 107, 150, 180, 214, 225, 300, 321, 428, 450, 535, 642, 900, 963, 1070, 1284, 1605, 1926, 2140, 2675, 3210, 3852, 4815, 5350, 6420, 8025, 9630, 10700, 16050, 19260, 24075, 32100, 48150

Step-4: Factors of 96318

List of positive integer factors of 96318 that divides 96300 without a remainder.

1, 2, 3, 6, 9, 18, 5351, 10702, 16053, 32106, 48159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96300 and 96318. The biggest common factor number is the GCF number.
So the greatest common factor 96300 and 96318 is 18.

Also check out the Least Common Multiple of 96300 and 96318