What is the Greatest Common Factor of 43320 and 43340?

Greatest common factor (GCF) of 43320 and 43340 is 20.

GCF(43320,43340) = 20

We will now calculate the prime factors of 43320 and 43340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43320 and 43340.

How to find the GCF of 43320 and 43340?

We will first find the prime factorization of 43320 and 43340. After we will calculate the factors of 43320 and 43340 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 43340

Prime factors of 43340 are 2, 5, 11, 197. Prime factorization of 43340 in exponential form is:

43340 = 2² × 5¹ × 11¹ × 197¹

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 43340

List of positive integer factors of 43340 that divides 43320 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 197, 220, 394, 788, 985, 1970, 2167, 3940, 4334, 8668, 10835, 21670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43320 and 43340. The biggest common factor number is the GCF number.
So the greatest common factor 43320 and 43340 is 20.

Also check out the Least Common Multiple of 43320 and 43340