What is the Greatest Common Factor of 43338 and 43344?

Greatest common factor (GCF) of 43338 and 43344 is 6.

GCF(43338,43344) = 6

We will now calculate the prime factors of 43338 and 43344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43338 and 43344.

How to find the GCF of 43338 and 43344?

We will first find the prime factorization of 43338 and 43344. After we will calculate the factors of 43338 and 43344 and find the biggest common factor number .

Step-1: Prime Factorization of 43338

Prime factors of 43338 are 2, 3, 31, 233. Prime factorization of 43338 in exponential form is:

43338 = 2¹ × 3¹ × 31¹ × 233¹

Step-2: 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-3: Factors of 43338

List of positive integer factors of 43338 that divides 43338 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 233, 466, 699, 1398, 7223, 14446, 21669

Step-4: Factors of 43344

List of positive integer factors of 43344 that divides 43338 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43338 and 43344. The biggest common factor number is the GCF number.
So the greatest common factor 43338 and 43344 is 6.

Also check out the Least Common Multiple of 43338 and 43344