What is the Greatest Common Factor of 43344 and 43356?

Greatest common factor (GCF) of 43344 and 43356 is 12.

GCF(43344,43356) = 12

We will now calculate the prime factors of 43344 and 43356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43344 and 43356.

How to find the GCF of 43344 and 43356?

We will first find the prime factorization of 43344 and 43356. After we will calculate the factors of 43344 and 43356 and find the biggest common factor number .

Step-1: Prime Factorization of 43344

Prime factors of 43344 are 2, 3, 7, 43. Prime factorization of 43344 in exponential form is:

43344 = 2⁴ × 3² × 7¹ × 43¹

Step-2: Prime Factorization of 43356

Prime factors of 43356 are 2, 3, 3613. Prime factorization of 43356 in exponential form is:

43356 = 2² × 3¹ × 3613¹

Step-3: Factors of 43344

List of positive integer factors of 43344 that divides 43344 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 43, 48, 56, 63, 72, 84, 86, 112, 126, 129, 144, 168, 172, 252, 258, 301, 336, 344, 387, 504, 516, 602, 688, 774, 903, 1008, 1032, 1204, 1548, 1806, 2064, 2408, 2709, 3096, 3612, 4816, 5418, 6192, 7224, 10836, 14448, 21672

Step-4: Factors of 43356

List of positive integer factors of 43356 that divides 43344 without a remainder.

1, 2, 3, 4, 6, 12, 3613, 7226, 10839, 14452, 21678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43344 and 43356. The biggest common factor number is the GCF number.
So the greatest common factor 43344 and 43356 is 12.

Also check out the Least Common Multiple of 43344 and 43356