What is the Greatest Common Factor of 43899 and 43914?

Greatest common factor (GCF) of 43899 and 43914 is 3.

GCF(43899,43914) = 3

We will now calculate the prime factors of 43899 and 43914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43899 and 43914.

How to find the GCF of 43899 and 43914?

We will first find the prime factorization of 43899 and 43914. After we will calculate the factors of 43899 and 43914 and find the biggest common factor number .

Step-1: Prime Factorization of 43899

Prime factors of 43899 are 3, 14633. Prime factorization of 43899 in exponential form is:

43899 = 3¹ × 14633¹

Step-2: Prime Factorization of 43914

Prime factors of 43914 are 2, 3, 13, 563. Prime factorization of 43914 in exponential form is:

43914 = 2¹ × 3¹ × 13¹ × 563¹

Step-3: Factors of 43899

List of positive integer factors of 43899 that divides 43899 without a remainder.

1, 3, 14633

Step-4: Factors of 43914

List of positive integer factors of 43914 that divides 43899 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 563, 1126, 1689, 3378, 7319, 14638, 21957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43899 and 43914. The biggest common factor number is the GCF number.
So the greatest common factor 43899 and 43914 is 3.

Also check out the Least Common Multiple of 43899 and 43914