What is the Greatest Common Factor of 93456 and 93468?

Greatest common factor (GCF) of 93456 and 93468 is 12.

GCF(93456,93468) = 12

We will now calculate the prime factors of 93456 and 93468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93456 and 93468.

How to find the GCF of 93456 and 93468?

We will first find the prime factorization of 93456 and 93468. After we will calculate the factors of 93456 and 93468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93468

Prime factors of 93468 are 2, 3, 7789. Prime factorization of 93468 in exponential form is:

93468 = 2² × 3¹ × 7789¹

Step-3: Factors of 93456

List of positive integer factors of 93456 that divides 93456 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

Step-4: Factors of 93468

List of positive integer factors of 93468 that divides 93456 without a remainder.

1, 2, 3, 4, 6, 12, 7789, 15578, 23367, 31156, 46734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93456 and 93468. The biggest common factor number is the GCF number.
So the greatest common factor 93456 and 93468 is 12.

Also check out the Least Common Multiple of 93456 and 93468