What is the Greatest Common Factor of 43329 and 43342?

Greatest common factor (GCF) of 43329 and 43342 is 13.

GCF(43329,43342) = 13

We will now calculate the prime factors of 43329 and 43342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43329 and 43342.

How to find the GCF of 43329 and 43342?

We will first find the prime factorization of 43329 and 43342. After we will calculate the factors of 43329 and 43342 and find the biggest common factor number .

Step-1: Prime Factorization of 43329

Prime factors of 43329 are 3, 11, 13, 101. Prime factorization of 43329 in exponential form is:

43329 = 3¹ × 11¹ × 13¹ × 101¹

Step-2: Prime Factorization of 43342

Prime factors of 43342 are 2, 13, 1667. Prime factorization of 43342 in exponential form is:

43342 = 2¹ × 13¹ × 1667¹

Step-3: Factors of 43329

List of positive integer factors of 43329 that divides 43329 without a remainder.

1, 3, 11, 13, 33, 39, 101, 143, 303, 429, 1111, 1313, 3333, 3939, 14443

Step-4: Factors of 43342

List of positive integer factors of 43342 that divides 43329 without a remainder.

1, 2, 13, 26, 1667, 3334, 21671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43329 and 43342. The biggest common factor number is the GCF number.
So the greatest common factor 43329 and 43342 is 13.

Also check out the Least Common Multiple of 43329 and 43342