What is the Greatest Common Factor of 93297 and 93312?

Greatest common factor (GCF) of 93297 and 93312 is 3.

GCF(93297,93312) = 3

We will now calculate the prime factors of 93297 and 93312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93297 and 93312.

How to find the GCF of 93297 and 93312?

We will first find the prime factorization of 93297 and 93312. After we will calculate the factors of 93297 and 93312 and find the biggest common factor number .

Step-1: Prime Factorization of 93297

Prime factors of 93297 are 3, 137, 227. Prime factorization of 93297 in exponential form is:

93297 = 3¹ × 137¹ × 227¹

Step-2: Prime Factorization of 93312

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

93312 = 2⁷ × 3⁶

Step-3: Factors of 93297

List of positive integer factors of 93297 that divides 93297 without a remainder.

1, 3, 137, 227, 411, 681, 31099

Step-4: Factors of 93312

List of positive integer factors of 93312 that divides 93297 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93297 and 93312. The biggest common factor number is the GCF number.
So the greatest common factor 93297 and 93312 is 3.

Also check out the Least Common Multiple of 93297 and 93312