What is the Greatest Common Factor of 16384 and 16399?

Greatest common factor (GCF) of 16384 and 16399 is 1.

GCF(16384,16399) = 1

We will now calculate the prime factors of 16384 and 16399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16384 and 16399.

How to find the GCF of 16384 and 16399?

We will first find the prime factorization of 16384 and 16399. After we will calculate the factors of 16384 and 16399 and find the biggest common factor number .

Step-1: Prime Factorization of 16384

Prime factors of 16384 are 2. Prime factorization of 16384 in exponential form is:

16384 = 2¹⁴

Step-2: Prime Factorization of 16399

Prime factors of 16399 are 23, 31. Prime factorization of 16399 in exponential form is:

16399 = 23² × 31¹

Step-3: Factors of 16384

List of positive integer factors of 16384 that divides 16384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

Step-4: Factors of 16399

List of positive integer factors of 16399 that divides 16384 without a remainder.

1, 23, 31, 529, 713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16384 and 16399. The biggest common factor number is the GCF number.
So the greatest common factor 16384 and 16399 is 1.

Also check out the Least Common Multiple of 16384 and 16399