What is the Greatest Common Factor of 93444 and 93456?

Greatest common factor (GCF) of 93444 and 93456 is 12.

GCF(93444,93456) = 12

We will now calculate the prime factors of 93444 and 93456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93444 and 93456.

How to find the GCF of 93444 and 93456?

We will first find the prime factorization of 93444 and 93456. After we will calculate the factors of 93444 and 93456 and find the biggest common factor number .

Step-1: Prime Factorization of 93444

Prime factors of 93444 are 2, 3, 13, 599. Prime factorization of 93444 in exponential form is:

93444 = 2² × 3¹ × 13¹ × 599¹

Step-2: Prime Factorization of 93456

Prime factors of 93456 are 2, 3, 11, 59. Prime factorization of 93456 in exponential form is:

93456 = 2⁴ × 3² × 11¹ × 59¹

Step-3: Factors of 93444

List of positive integer factors of 93444 that divides 93444 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 599, 1198, 1797, 2396, 3594, 7188, 7787, 15574, 23361, 31148, 46722

Step-4: Factors of 93456

List of positive integer factors of 93456 that divides 93444 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 59, 66, 72, 88, 99, 118, 132, 144, 176, 177, 198, 236, 264, 354, 396, 472, 528, 531, 649, 708, 792, 944, 1062, 1298, 1416, 1584, 1947, 2124, 2596, 2832, 3894, 4248, 5192, 5841, 7788, 8496, 10384, 11682, 15576, 23364, 31152, 46728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93444 and 93456. The biggest common factor number is the GCF number.
So the greatest common factor 93444 and 93456 is 12.

Also check out the Least Common Multiple of 93444 and 93456