What is the Greatest Common Factor of 43330 and 43344?

Greatest common factor (GCF) of 43330 and 43344 is 14.

GCF(43330,43344) = 14

We will now calculate the prime factors of 43330 and 43344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43330 and 43344.

How to find the GCF of 43330 and 43344?

We will first find the prime factorization of 43330 and 43344. After we will calculate the factors of 43330 and 43344 and find the biggest common factor number .

Step-1: Prime Factorization of 43330

Prime factors of 43330 are 2, 5, 7, 619. Prime factorization of 43330 in exponential form is:

43330 = 2¹ × 5¹ × 7¹ × 619¹

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 43330

List of positive integer factors of 43330 that divides 43330 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 619, 1238, 3095, 4333, 6190, 8666, 21665

Step-4: Factors of 43344

List of positive integer factors of 43344 that divides 43330 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 43330 and 43344. The biggest common factor number is the GCF number.
So the greatest common factor 43330 and 43344 is 14.

Also check out the Least Common Multiple of 43330 and 43344