What is the Greatest Common Factor of 43337 and 43344?

Greatest common factor (GCF) of 43337 and 43344 is 7.

GCF(43337,43344) = 7

We will now calculate the prime factors of 43337 and 43344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43337 and 43344.

How to find the GCF of 43337 and 43344?

We will first find the prime factorization of 43337 and 43344. After we will calculate the factors of 43337 and 43344 and find the biggest common factor number .

Step-1: Prime Factorization of 43337

Prime factors of 43337 are 7, 41, 151. Prime factorization of 43337 in exponential form is:

43337 = 7¹ × 41¹ × 151¹

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 43337

List of positive integer factors of 43337 that divides 43337 without a remainder.

1, 7, 41, 151, 287, 1057, 6191

Step-4: Factors of 43344

List of positive integer factors of 43344 that divides 43337 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 43337 and 43344. The biggest common factor number is the GCF number.
So the greatest common factor 43337 and 43344 is 7.

Also check out the Least Common Multiple of 43337 and 43344