What is the Greatest Common Factor of 96297 and 96315?

Greatest common factor (GCF) of 96297 and 96315 is 3.

GCF(96297,96315) = 3

We will now calculate the prime factors of 96297 and 96315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96297 and 96315.

How to find the GCF of 96297 and 96315?

We will first find the prime factorization of 96297 and 96315. After we will calculate the factors of 96297 and 96315 and find the biggest common factor number .

Step-1: Prime Factorization of 96297

Prime factors of 96297 are 3, 32099. Prime factorization of 96297 in exponential form is:

96297 = 3¹ × 32099¹

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 96297

List of positive integer factors of 96297 that divides 96297 without a remainder.

1, 3, 32099

Step-4: Factors of 96315

List of positive integer factors of 96315 that divides 96297 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96297 and 96315. The biggest common factor number is the GCF number.
So the greatest common factor 96297 and 96315 is 3.

Also check out the Least Common Multiple of 96297 and 96315