What is the Greatest Common Factor of 93312 and 93324?

Greatest common factor (GCF) of 93312 and 93324 is 12.

GCF(93312,93324) = 12

We will now calculate the prime factors of 93312 and 93324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93312 and 93324.

How to find the GCF of 93312 and 93324?

We will first find the prime factorization of 93312 and 93324. After we will calculate the factors of 93312 and 93324 and find the biggest common factor number .

Step-1: Prime Factorization of 93312

Prime factors of 93312 are 2, 3. Prime factorization of 93312 in exponential form is:

93312 = 2⁷ × 3⁶

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 93312

List of positive integer factors of 93312 that divides 93312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 243, 288, 324, 384, 432, 486, 576, 648, 729, 864, 972, 1152, 1296, 1458, 1728, 1944, 2592, 2916, 3456, 3888, 5184, 5832, 7776, 10368, 11664, 15552, 23328, 31104, 46656

Step-4: Factors of 93324

List of positive integer factors of 93324 that divides 93312 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 93312 and 93324. The biggest common factor number is the GCF number.
So the greatest common factor 93312 and 93324 is 12.

Also check out the Least Common Multiple of 93312 and 93324