What is the Greatest Common Factor of 93315 and 93324?

Greatest common factor (GCF) of 93315 and 93324 is 3.

GCF(93315,93324) = 3

We will now calculate the prime factors of 93315 and 93324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93315 and 93324.

How to find the GCF of 93315 and 93324?

We will first find the prime factorization of 93315 and 93324. After we will calculate the factors of 93315 and 93324 and find the biggest common factor number .

Step-1: Prime Factorization of 93315

Prime factors of 93315 are 3, 5, 6221. Prime factorization of 93315 in exponential form is:

93315 = 3¹ × 5¹ × 6221¹

Step-2: Prime Factorization of 93324

Prime factors of 93324 are 2, 3, 7, 11, 101. Prime factorization of 93324 in exponential form is:

93324 = 2² × 3¹ × 7¹ × 11¹ × 101¹

Step-3: Factors of 93315

List of positive integer factors of 93315 that divides 93315 without a remainder.

1, 3, 5, 15, 6221, 18663, 31105

Step-4: Factors of 93324

List of positive integer factors of 93324 that divides 93315 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 101, 132, 154, 202, 231, 303, 308, 404, 462, 606, 707, 924, 1111, 1212, 1414, 2121, 2222, 2828, 3333, 4242, 4444, 6666, 7777, 8484, 13332, 15554, 23331, 31108, 46662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93315 and 93324. The biggest common factor number is the GCF number.
So the greatest common factor 93315 and 93324 is 3.

Also check out the Least Common Multiple of 93315 and 93324