What is the Greatest Common Factor of 16384 and 16403?

Greatest common factor (GCF) of 16384 and 16403 is 1.

GCF(16384,16403) = 1

We will now calculate the prime factors of 16384 and 16403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16384 and 16403.

How to find the GCF of 16384 and 16403?

We will first find the prime factorization of 16384 and 16403. After we will calculate the factors of 16384 and 16403 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 16403

Prime factors of 16403 are 47, 349. Prime factorization of 16403 in exponential form is:

16403 = 47¹ × 349¹

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 16403

List of positive integer factors of 16403 that divides 16384 without a remainder.

1, 47, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16384 and 16403. The biggest common factor number is the GCF number.
So the greatest common factor 16384 and 16403 is 1.

Also check out the Least Common Multiple of 16384 and 16403