What is the Greatest Common Factor of 43305 and 43320?

Greatest common factor (GCF) of 43305 and 43320 is 15.

GCF(43305,43320) = 15

We will now calculate the prime factors of 43305 and 43320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43305 and 43320.

How to find the GCF of 43305 and 43320?

We will first find the prime factorization of 43305 and 43320. After we will calculate the factors of 43305 and 43320 and find the biggest common factor number .

Step-1: Prime Factorization of 43305

Prime factors of 43305 are 3, 5, 2887. Prime factorization of 43305 in exponential form is:

43305 = 3¹ × 5¹ × 2887¹

Step-2: 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-3: Factors of 43305

List of positive integer factors of 43305 that divides 43305 without a remainder.

1, 3, 5, 15, 2887, 8661, 14435

Step-4: Factors of 43320

List of positive integer factors of 43320 that divides 43305 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43305 and 43320. The biggest common factor number is the GCF number.
So the greatest common factor 43305 and 43320 is 15.

Also check out the Least Common Multiple of 43305 and 43320