What is the Greatest Common Factor of 43320 and 43328?

Greatest common factor (GCF) of 43320 and 43328 is 8.

GCF(43320,43328) = 8

We will now calculate the prime factors of 43320 and 43328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43320 and 43328.

How to find the GCF of 43320 and 43328?

We will first find the prime factorization of 43320 and 43328. After we will calculate the factors of 43320 and 43328 and find the biggest common factor number .

Step-1: Prime Factorization of 43320

Prime factors of 43320 are 2, 3, 5, 19. Prime factorization of 43320 in exponential form is:

43320 = 2³ × 3¹ × 5¹ × 19²

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 43320

List of positive integer factors of 43320 that divides 43320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 361, 380, 456, 570, 722, 760, 1083, 1140, 1444, 1805, 2166, 2280, 2888, 3610, 4332, 5415, 7220, 8664, 10830, 14440, 21660

Step-4: Factors of 43328

List of positive integer factors of 43328 that divides 43320 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 43320 and 43328. The biggest common factor number is the GCF number.
So the greatest common factor 43320 and 43328 is 8.

Also check out the Least Common Multiple of 43320 and 43328