What is the Greatest Common Factor of 96300 and 96315?

Greatest common factor (GCF) of 96300 and 96315 is 15.

GCF(96300,96315) = 15

We will now calculate the prime factors of 96300 and 96315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96300 and 96315.

How to find the GCF of 96300 and 96315?

We will first find the prime factorization of 96300 and 96315. After we will calculate the factors of 96300 and 96315 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 96315

Prime factors of 96315 are 3, 5, 6421. Prime factorization of 96315 in exponential form is:

96315 = 3¹ × 5¹ × 6421¹

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 96315

List of positive integer factors of 96315 that divides 96300 without a remainder.

1, 3, 5, 15, 6421, 19263, 32105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96300 and 96315. The biggest common factor number is the GCF number.
So the greatest common factor 96300 and 96315 is 15.

Also check out the Least Common Multiple of 96300 and 96315