What is the Greatest Common Factor of 43314 and 43320?

Greatest common factor (GCF) of 43314 and 43320 is 6.

GCF(43314,43320) = 6

We will now calculate the prime factors of 43314 and 43320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43314 and 43320.

How to find the GCF of 43314 and 43320?

We will first find the prime factorization of 43314 and 43320. After we will calculate the factors of 43314 and 43320 and find the biggest common factor number .

Step-1: Prime Factorization of 43314

Prime factors of 43314 are 2, 3, 7219. Prime factorization of 43314 in exponential form is:

43314 = 2¹ × 3¹ × 7219¹

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 43314

List of positive integer factors of 43314 that divides 43314 without a remainder.

1, 2, 3, 6, 7219, 14438, 21657

Step-4: Factors of 43320

List of positive integer factors of 43320 that divides 43314 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 43314 and 43320. The biggest common factor number is the GCF number.
So the greatest common factor 43314 and 43320 is 6.

Also check out the Least Common Multiple of 43314 and 43320