What is the Greatest Common Factor of 43306 and 43320?

Greatest common factor (GCF) of 43306 and 43320 is 2.

GCF(43306,43320) = 2

We will now calculate the prime factors of 43306 and 43320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43306 and 43320.

How to find the GCF of 43306 and 43320?

We will first find the prime factorization of 43306 and 43320. After we will calculate the factors of 43306 and 43320 and find the biggest common factor number .

Step-1: Prime Factorization of 43306

Prime factors of 43306 are 2, 59, 367. Prime factorization of 43306 in exponential form is:

43306 = 2¹ × 59¹ × 367¹

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 43306

List of positive integer factors of 43306 that divides 43306 without a remainder.

1, 2, 59, 118, 367, 734, 21653

Step-4: Factors of 43320

List of positive integer factors of 43320 that divides 43306 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 43306 and 43320. The biggest common factor number is the GCF number.
So the greatest common factor 43306 and 43320 is 2.

Also check out the Least Common Multiple of 43306 and 43320