What is the Greatest Common Factor of 43344 and 43363?

Greatest common factor (GCF) of 43344 and 43363 is 1.

GCF(43344,43363) = 1

We will now calculate the prime factors of 43344 and 43363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43344 and 43363.

How to find the GCF of 43344 and 43363?

We will first find the prime factorization of 43344 and 43363. After we will calculate the factors of 43344 and 43363 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 43363

Prime factors of 43363 are 103, 421. Prime factorization of 43363 in exponential form is:

43363 = 103¹ × 421¹

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 43363

List of positive integer factors of 43363 that divides 43344 without a remainder.

1, 103, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43344 and 43363. The biggest common factor number is the GCF number.
So the greatest common factor 43344 and 43363 is 1.

Also check out the Least Common Multiple of 43344 and 43363