What is the Greatest Common Factor of 43857 and 43868?

Greatest common factor (GCF) of 43857 and 43868 is 11.

GCF(43857,43868) = 11

We will now calculate the prime factors of 43857 and 43868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43857 and 43868.

How to find the GCF of 43857 and 43868?

We will first find the prime factorization of 43857 and 43868. After we will calculate the factors of 43857 and 43868 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 43868

Prime factors of 43868 are 2, 11, 997. Prime factorization of 43868 in exponential form is:

43868 = 2² × 11¹ × 997¹

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 43868

List of positive integer factors of 43868 that divides 43857 without a remainder.

1, 2, 4, 11, 22, 44, 997, 1994, 3988, 10967, 21934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43857 and 43868. The biggest common factor number is the GCF number.
So the greatest common factor 43857 and 43868 is 11.

Also check out the Least Common Multiple of 43857 and 43868