What is the Greatest Common Factor of 43344 and 43364?

Greatest common factor (GCF) of 43344 and 43364 is 4.

GCF(43344,43364) = 4

We will now calculate the prime factors of 43344 and 43364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43344 and 43364.

How to find the GCF of 43344 and 43364?

We will first find the prime factorization of 43344 and 43364. After we will calculate the factors of 43344 and 43364 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 43364

Prime factors of 43364 are 2, 37, 293. Prime factorization of 43364 in exponential form is:

43364 = 2² × 37¹ × 293¹

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 43364

List of positive integer factors of 43364 that divides 43344 without a remainder.

1, 2, 4, 37, 74, 148, 293, 586, 1172, 10841, 21682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43344 and 43364. The biggest common factor number is the GCF number.
So the greatest common factor 43344 and 43364 is 4.

Also check out the Least Common Multiple of 43344 and 43364