What is the Greatest Common Factor of 43320 and 43335?

Greatest common factor (GCF) of 43320 and 43335 is 15.

GCF(43320,43335) = 15

We will now calculate the prime factors of 43320 and 43335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43320 and 43335.

How to find the GCF of 43320 and 43335?

We will first find the prime factorization of 43320 and 43335. After we will calculate the factors of 43320 and 43335 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 43335

Prime factors of 43335 are 3, 5, 107. Prime factorization of 43335 in exponential form is:

43335 = 3⁴ × 5¹ × 107¹

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 43335

List of positive integer factors of 43335 that divides 43320 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 107, 135, 321, 405, 535, 963, 1605, 2889, 4815, 8667, 14445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43320 and 43335. The biggest common factor number is the GCF number.
So the greatest common factor 43320 and 43335 is 15.

Also check out the Least Common Multiple of 43320 and 43335