What is the Greatest Common Factor of 43320 and 43339?

Greatest common factor (GCF) of 43320 and 43339 is 19.

GCF(43320,43339) = 19

We will now calculate the prime factors of 43320 and 43339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43320 and 43339.

How to find the GCF of 43320 and 43339?

We will first find the prime factorization of 43320 and 43339. After we will calculate the factors of 43320 and 43339 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 43339

Prime factors of 43339 are 19, 2281. Prime factorization of 43339 in exponential form is:

43339 = 19¹ × 2281¹

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 43339

List of positive integer factors of 43339 that divides 43320 without a remainder.

1, 19, 2281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43320 and 43339. The biggest common factor number is the GCF number.
So the greatest common factor 43320 and 43339 is 19.

Also check out the Least Common Multiple of 43320 and 43339