What is the Greatest Common Factor of 43296 and 43307?

Greatest common factor (GCF) of 43296 and 43307 is 11.

GCF(43296,43307) = 11

We will now calculate the prime factors of 43296 and 43307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43296 and 43307.

How to find the GCF of 43296 and 43307?

We will first find the prime factorization of 43296 and 43307. After we will calculate the factors of 43296 and 43307 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 43307

Prime factors of 43307 are 11, 31, 127. Prime factorization of 43307 in exponential form is:

43307 = 11¹ × 31¹ × 127¹

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 43307

List of positive integer factors of 43307 that divides 43296 without a remainder.

1, 11, 31, 127, 341, 1397, 3937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43296 and 43307. The biggest common factor number is the GCF number.
So the greatest common factor 43296 and 43307 is 11.

Also check out the Least Common Multiple of 43296 and 43307