What is the Greatest Common Factor of 16384 and 16395?

Greatest common factor (GCF) of 16384 and 16395 is 1.

GCF(16384,16395) = 1

We will now calculate the prime factors of 16384 and 16395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16384 and 16395.

How to find the GCF of 16384 and 16395?

We will first find the prime factorization of 16384 and 16395. After we will calculate the factors of 16384 and 16395 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 16395

Prime factors of 16395 are 3, 5, 1093. Prime factorization of 16395 in exponential form is:

16395 = 3¹ × 5¹ × 1093¹

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 16395

List of positive integer factors of 16395 that divides 16384 without a remainder.

1, 3, 5, 15, 1093, 3279, 5465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16384 and 16395. The biggest common factor number is the GCF number.
So the greatest common factor 16384 and 16395 is 1.

Also check out the Least Common Multiple of 16384 and 16395