What is the Greatest Common Factor of 43328 and 43336?

Greatest common factor (GCF) of 43328 and 43336 is 8.

GCF(43328,43336) = 8

We will now calculate the prime factors of 43328 and 43336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43328 and 43336.

How to find the GCF of 43328 and 43336?

We will first find the prime factorization of 43328 and 43336. After we will calculate the factors of 43328 and 43336 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 43336

Prime factors of 43336 are 2, 5417. Prime factorization of 43336 in exponential form is:

43336 = 2³ × 5417¹

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 43336

List of positive integer factors of 43336 that divides 43328 without a remainder.

1, 2, 4, 8, 5417, 10834, 21668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43328 and 43336. The biggest common factor number is the GCF number.
So the greatest common factor 43328 and 43336 is 8.

Also check out the Least Common Multiple of 43328 and 43336