What is the Greatest Common Factor of 43328 and 43342?

Greatest common factor (GCF) of 43328 and 43342 is 2.

GCF(43328,43342) = 2

We will now calculate the prime factors of 43328 and 43342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43328 and 43342.

How to find the GCF of 43328 and 43342?

We will first find the prime factorization of 43328 and 43342. After we will calculate the factors of 43328 and 43342 and find the biggest common factor number .

Step-1: Prime Factorization of 43328

Prime factors of 43328 are 2, 677. Prime factorization of 43328 in exponential form is:

43328 = 2⁶ × 677¹

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 43328

List of positive integer factors of 43328 that divides 43328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 677, 1354, 2708, 5416, 10832, 21664

Step-4: Factors of 43342

List of positive integer factors of 43342 that divides 43328 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43328 and 43342. The biggest common factor number is the GCF number.
So the greatest common factor 43328 and 43342 is 2.

Also check out the Least Common Multiple of 43328 and 43342