What is the Greatest Common Factor of 43344 and 43354?

Greatest common factor (GCF) of 43344 and 43354 is 2.

GCF(43344,43354) = 2

We will now calculate the prime factors of 43344 and 43354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43344 and 43354.

How to find the GCF of 43344 and 43354?

We will first find the prime factorization of 43344 and 43354. After we will calculate the factors of 43344 and 43354 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 43354

Prime factors of 43354 are 2, 53, 409. Prime factorization of 43354 in exponential form is:

43354 = 2¹ × 53¹ × 409¹

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 43354

List of positive integer factors of 43354 that divides 43344 without a remainder.

1, 2, 53, 106, 409, 818, 21677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43344 and 43354. The biggest common factor number is the GCF number.
So the greatest common factor 43344 and 43354 is 2.

Also check out the Least Common Multiple of 43344 and 43354