What is the Greatest Common Factor of 43296 and 43312?

Greatest common factor (GCF) of 43296 and 43312 is 16.

GCF(43296,43312) = 16

We will now calculate the prime factors of 43296 and 43312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43296 and 43312.

How to find the GCF of 43296 and 43312?

We will first find the prime factorization of 43296 and 43312. After we will calculate the factors of 43296 and 43312 and find the biggest common factor number .

Step-1: Prime Factorization of 43296

Prime factors of 43296 are 2, 3, 11, 41. Prime factorization of 43296 in exponential form is:

43296 = 2⁵ × 3¹ × 11¹ × 41¹

Step-2: Prime Factorization of 43312

Prime factors of 43312 are 2, 2707. Prime factorization of 43312 in exponential form is:

43312 = 2⁴ × 2707¹

Step-3: Factors of 43296

List of positive integer factors of 43296 that divides 43296 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 41, 44, 48, 66, 82, 88, 96, 123, 132, 164, 176, 246, 264, 328, 352, 451, 492, 528, 656, 902, 984, 1056, 1312, 1353, 1804, 1968, 2706, 3608, 3936, 5412, 7216, 10824, 14432, 21648

Step-4: Factors of 43312

List of positive integer factors of 43312 that divides 43296 without a remainder.

1, 2, 4, 8, 16, 2707, 5414, 10828, 21656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43296 and 43312. The biggest common factor number is the GCF number.
So the greatest common factor 43296 and 43312 is 16.

Also check out the Least Common Multiple of 43296 and 43312