What is the Greatest Common Factor of 93324 and 93342?

Greatest common factor (GCF) of 93324 and 93342 is 6.

GCF(93324,93342) = 6

We will now calculate the prime factors of 93324 and 93342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93324 and 93342.

How to find the GCF of 93324 and 93342?

We will first find the prime factorization of 93324 and 93342. After we will calculate the factors of 93324 and 93342 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 93342

Prime factors of 93342 are 2, 3, 47, 331. Prime factorization of 93342 in exponential form is:

93342 = 2¹ × 3¹ × 47¹ × 331¹

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 93342

List of positive integer factors of 93342 that divides 93324 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 331, 662, 993, 1986, 15557, 31114, 46671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93324 and 93342. The biggest common factor number is the GCF number.
So the greatest common factor 93324 and 93342 is 6.

Also check out the Least Common Multiple of 93324 and 93342