What is the Greatest Common Factor of 16384 and 16391?

Greatest common factor (GCF) of 16384 and 16391 is 1.

GCF(16384,16391) = 1

We will now calculate the prime factors of 16384 and 16391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16384 and 16391.

How to find the GCF of 16384 and 16391?

We will first find the prime factorization of 16384 and 16391. After we will calculate the factors of 16384 and 16391 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 16391

Prime factors of 16391 are 37, 443. Prime factorization of 16391 in exponential form is:

16391 = 37¹ × 443¹

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 16391

List of positive integer factors of 16391 that divides 16384 without a remainder.

1, 37, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16384 and 16391. The biggest common factor number is the GCF number.
So the greatest common factor 16384 and 16391 is 1.

Also check out the Least Common Multiple of 16384 and 16391