What is the Greatest Common Factor of 96315 and 96324?

Greatest common factor (GCF) of 96315 and 96324 is 3.

GCF(96315,96324) = 3

We will now calculate the prime factors of 96315 and 96324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96315 and 96324.

How to find the GCF of 96315 and 96324?

We will first find the prime factorization of 96315 and 96324. After we will calculate the factors of 96315 and 96324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96324

Prime factors of 96324 are 2, 3, 23, 349. Prime factorization of 96324 in exponential form is:

96324 = 2² × 3¹ × 23¹ × 349¹

Step-3: Factors of 96315

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

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

Step-4: Factors of 96324

List of positive integer factors of 96324 that divides 96315 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 349, 698, 1047, 1396, 2094, 4188, 8027, 16054, 24081, 32108, 48162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96315 and 96324. The biggest common factor number is the GCF number.
So the greatest common factor 96315 and 96324 is 3.

Also check out the Least Common Multiple of 96315 and 96324