What is the Greatest Common Factor of 93456 and 93472?

Greatest common factor (GCF) of 93456 and 93472 is 16.

GCF(93456,93472) = 16

We will now calculate the prime factors of 93456 and 93472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93456 and 93472.

How to find the GCF of 93456 and 93472?

We will first find the prime factorization of 93456 and 93472. After we will calculate the factors of 93456 and 93472 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 93472

Prime factors of 93472 are 2, 23, 127. Prime factorization of 93472 in exponential form is:

93472 = 2⁵ × 23¹ × 127¹

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 93472

List of positive integer factors of 93472 that divides 93456 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 127, 184, 254, 368, 508, 736, 1016, 2032, 2921, 4064, 5842, 11684, 23368, 46736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93456 and 93472. The biggest common factor number is the GCF number.
So the greatest common factor 93456 and 93472 is 16.

Also check out the Least Common Multiple of 93456 and 93472