What is the Greatest Common Factor of 43278 and 43296?

Greatest common factor (GCF) of 43278 and 43296 is 6.

GCF(43278,43296) = 6

We will now calculate the prime factors of 43278 and 43296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43278 and 43296.

How to find the GCF of 43278 and 43296?

We will first find the prime factorization of 43278 and 43296. After we will calculate the factors of 43278 and 43296 and find the biggest common factor number .

Step-1: Prime Factorization of 43278

Prime factors of 43278 are 2, 3, 7213. Prime factorization of 43278 in exponential form is:

43278 = 2¹ × 3¹ × 7213¹

Step-2: 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-3: Factors of 43278

List of positive integer factors of 43278 that divides 43278 without a remainder.

1, 2, 3, 6, 7213, 14426, 21639

Step-4: Factors of 43296

List of positive integer factors of 43296 that divides 43278 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43278 and 43296. The biggest common factor number is the GCF number.
So the greatest common factor 43278 and 43296 is 6.

Also check out the Least Common Multiple of 43278 and 43296