What is the Greatest Common Factor of 16384 and 16398?

Greatest common factor (GCF) of 16384 and 16398 is 2.

GCF(16384,16398) = 2

We will now calculate the prime factors of 16384 and 16398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16384 and 16398.

How to find the GCF of 16384 and 16398?

We will first find the prime factorization of 16384 and 16398. After we will calculate the factors of 16384 and 16398 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 16398

Prime factors of 16398 are 2, 3, 911. Prime factorization of 16398 in exponential form is:

16398 = 2¹ × 3² × 911¹

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 16398

List of positive integer factors of 16398 that divides 16384 without a remainder.

1, 2, 3, 6, 9, 18, 911, 1822, 2733, 5466, 8199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16384 and 16398. The biggest common factor number is the GCF number.
So the greatest common factor 16384 and 16398 is 2.

Also check out the Least Common Multiple of 16384 and 16398