What is the Greatest Common Factor of 43668 and 43686?

Greatest common factor (GCF) of 43668 and 43686 is 18.

GCF(43668,43686) = 18

We will now calculate the prime factors of 43668 and 43686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43668 and 43686.

How to find the GCF of 43668 and 43686?

We will first find the prime factorization of 43668 and 43686. After we will calculate the factors of 43668 and 43686 and find the biggest common factor number .

Step-1: Prime Factorization of 43668

Prime factors of 43668 are 2, 3, 1213. Prime factorization of 43668 in exponential form is:

43668 = 2² × 3² × 1213¹

Step-2: Prime Factorization of 43686

Prime factors of 43686 are 2, 3, 809. Prime factorization of 43686 in exponential form is:

43686 = 2¹ × 3³ × 809¹

Step-3: Factors of 43668

List of positive integer factors of 43668 that divides 43668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1213, 2426, 3639, 4852, 7278, 10917, 14556, 21834

Step-4: Factors of 43686

List of positive integer factors of 43686 that divides 43668 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 809, 1618, 2427, 4854, 7281, 14562, 21843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43668 and 43686. The biggest common factor number is the GCF number.
So the greatest common factor 43668 and 43686 is 18.

Also check out the Least Common Multiple of 43668 and 43686