What is the Greatest Common Factor of 14384 and 14389?

Greatest common factor (GCF) of 14384 and 14389 is 1.

GCF(14384,14389) = 1

We will now calculate the prime factors of 14384 and 14389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14384 and 14389.

How to find the GCF of 14384 and 14389?

We will first find the prime factorization of 14384 and 14389. After we will calculate the factors of 14384 and 14389 and find the biggest common factor number .

Step-1: Prime Factorization of 14384

Prime factors of 14384 are 2, 29, 31. Prime factorization of 14384 in exponential form is:

14384 = 2⁴ × 29¹ × 31¹

Step-2: Prime Factorization of 14389

Prime factors of 14389 are 14389. Prime factorization of 14389 in exponential form is:

14389 = 14389¹

Step-3: Factors of 14384

List of positive integer factors of 14384 that divides 14384 without a remainder.

1, 2, 4, 8, 16, 29, 31, 58, 62, 116, 124, 232, 248, 464, 496, 899, 1798, 3596, 7192

Step-4: Factors of 14389

List of positive integer factors of 14389 that divides 14384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14384 and 14389. The biggest common factor number is the GCF number.
So the greatest common factor 14384 and 14389 is 1.

Also check out the Least Common Multiple of 14384 and 14389