What is the Greatest Common Factor of 14391 and 14409?

Greatest common factor (GCF) of 14391 and 14409 is 9.

GCF(14391,14409) = 9

We will now calculate the prime factors of 14391 and 14409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14391 and 14409.

How to find the GCF of 14391 and 14409?

We will first find the prime factorization of 14391 and 14409. After we will calculate the factors of 14391 and 14409 and find the biggest common factor number .

Step-1: Prime Factorization of 14391

Prime factors of 14391 are 3, 13, 41. Prime factorization of 14391 in exponential form is:

14391 = 3³ × 13¹ × 41¹

Step-2: Prime Factorization of 14409

Prime factors of 14409 are 3, 1601. Prime factorization of 14409 in exponential form is:

14409 = 3² × 1601¹

Step-3: Factors of 14391

List of positive integer factors of 14391 that divides 14391 without a remainder.

1, 3, 9, 13, 27, 39, 41, 117, 123, 351, 369, 533, 1107, 1599, 4797

Step-4: Factors of 14409

List of positive integer factors of 14409 that divides 14391 without a remainder.

1, 3, 9, 1601, 4803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14391 and 14409. The biggest common factor number is the GCF number.
So the greatest common factor 14391 and 14409 is 9.

Also check out the Least Common Multiple of 14391 and 14409