What is the Greatest Common Factor of 43857 and 43875?

Greatest common factor (GCF) of 43857 and 43875 is 9.

GCF(43857,43875) = 9

We will now calculate the prime factors of 43857 and 43875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43857 and 43875.

How to find the GCF of 43857 and 43875?

We will first find the prime factorization of 43857 and 43875. After we will calculate the factors of 43857 and 43875 and find the biggest common factor number .

Step-1: Prime Factorization of 43857

Prime factors of 43857 are 3, 11, 443. Prime factorization of 43857 in exponential form is:

43857 = 3² × 11¹ × 443¹

Step-2: Prime Factorization of 43875

Prime factors of 43875 are 3, 5, 13. Prime factorization of 43875 in exponential form is:

43875 = 3³ × 5³ × 13¹

Step-3: Factors of 43857

List of positive integer factors of 43857 that divides 43857 without a remainder.

1, 3, 9, 11, 33, 99, 443, 1329, 3987, 4873, 14619

Step-4: Factors of 43875

List of positive integer factors of 43875 that divides 43857 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 125, 135, 195, 225, 325, 351, 375, 585, 675, 975, 1125, 1625, 1755, 2925, 3375, 4875, 8775, 14625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43857 and 43875. The biggest common factor number is the GCF number.
So the greatest common factor 43857 and 43875 is 9.

Also check out the Least Common Multiple of 43857 and 43875