What is the Greatest Common Factor of 43842 and 43857?

Greatest common factor (GCF) of 43842 and 43857 is 3.

GCF(43842,43857) = 3

We will now calculate the prime factors of 43842 and 43857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43842 and 43857.

How to find the GCF of 43842 and 43857?

We will first find the prime factorization of 43842 and 43857. After we will calculate the factors of 43842 and 43857 and find the biggest common factor number .

Step-1: Prime Factorization of 43842

Prime factors of 43842 are 2, 3, 7307. Prime factorization of 43842 in exponential form is:

43842 = 2¹ × 3¹ × 7307¹

Step-2: 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-3: Factors of 43842

List of positive integer factors of 43842 that divides 43842 without a remainder.

1, 2, 3, 6, 7307, 14614, 21921

Step-4: Factors of 43857

List of positive integer factors of 43857 that divides 43842 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43842 and 43857. The biggest common factor number is the GCF number.
So the greatest common factor 43842 and 43857 is 3.

Also check out the Least Common Multiple of 43842 and 43857