What is the Greatest Common Factor of 43312 and 43328?

Greatest common factor (GCF) of 43312 and 43328 is 16.

GCF(43312,43328) = 16

We will now calculate the prime factors of 43312 and 43328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43312 and 43328.

How to find the GCF of 43312 and 43328?

We will first find the prime factorization of 43312 and 43328. After we will calculate the factors of 43312 and 43328 and find the biggest common factor number .

Step-1: Prime Factorization of 43312

Prime factors of 43312 are 2, 2707. Prime factorization of 43312 in exponential form is:

43312 = 2⁴ × 2707¹

Step-2: Prime Factorization of 43328

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

43328 = 2⁶ × 677¹

Step-3: Factors of 43312

List of positive integer factors of 43312 that divides 43312 without a remainder.

1, 2, 4, 8, 16, 2707, 5414, 10828, 21656

Step-4: Factors of 43328

List of positive integer factors of 43328 that divides 43312 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43312 and 43328. The biggest common factor number is the GCF number.
So the greatest common factor 43312 and 43328 is 16.

Also check out the Least Common Multiple of 43312 and 43328