What is the Greatest Common Factor of 43344 and 43352?

Greatest common factor (GCF) of 43344 and 43352 is 8.

GCF(43344,43352) = 8

We will now calculate the prime factors of 43344 and 43352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43344 and 43352.

How to find the GCF of 43344 and 43352?

We will first find the prime factorization of 43344 and 43352. After we will calculate the factors of 43344 and 43352 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 43352

Prime factors of 43352 are 2, 5419. Prime factorization of 43352 in exponential form is:

43352 = 2³ × 5419¹

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 43352

List of positive integer factors of 43352 that divides 43344 without a remainder.

1, 2, 4, 8, 5419, 10838, 21676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43344 and 43352. The biggest common factor number is the GCF number.
So the greatest common factor 43344 and 43352 is 8.

Also check out the Least Common Multiple of 43344 and 43352