What is the Greatest Common Factor of 93324 and 93333?

Greatest common factor (GCF) of 93324 and 93333 is 3.

GCF(93324,93333) = 3

We will now calculate the prime factors of 93324 and 93333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93324 and 93333.

How to find the GCF of 93324 and 93333?

We will first find the prime factorization of 93324 and 93333. After we will calculate the factors of 93324 and 93333 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93333

Prime factors of 93333 are 3, 53, 587. Prime factorization of 93333 in exponential form is:

93333 = 3¹ × 53¹ × 587¹

Step-3: Factors of 93324

List of positive integer factors of 93324 that divides 93324 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

Step-4: Factors of 93333

List of positive integer factors of 93333 that divides 93324 without a remainder.

1, 3, 53, 159, 587, 1761, 31111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93324 and 93333. The biggest common factor number is the GCF number.
So the greatest common factor 93324 and 93333 is 3.

Also check out the Least Common Multiple of 93324 and 93333