What is the Greatest Common Factor of 16366 and 16384?

Greatest common factor (GCF) of 16366 and 16384 is 2.

GCF(16366,16384) = 2

We will now calculate the prime factors of 16366 and 16384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16366 and 16384.

How to find the GCF of 16366 and 16384?

We will first find the prime factorization of 16366 and 16384. After we will calculate the factors of 16366 and 16384 and find the biggest common factor number .

Step-1: Prime Factorization of 16366

Prime factors of 16366 are 2, 7, 167. Prime factorization of 16366 in exponential form is:

16366 = 2¹ × 7² × 167¹

Step-2: Prime Factorization of 16384

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

16384 = 2¹⁴

Step-3: Factors of 16366

List of positive integer factors of 16366 that divides 16366 without a remainder.

1, 2, 7, 14, 49, 98, 167, 334, 1169, 2338, 8183

Step-4: Factors of 16384

List of positive integer factors of 16384 that divides 16366 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16366 and 16384. The biggest common factor number is the GCF number.
So the greatest common factor 16366 and 16384 is 2.

Also check out the Least Common Multiple of 16366 and 16384