What is the Greatest Common Factor of 16378 and 16384?

Greatest common factor (GCF) of 16378 and 16384 is 2.

GCF(16378,16384) = 2

We will now calculate the prime factors of 16378 and 16384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16378 and 16384.

How to find the GCF of 16378 and 16384?

We will first find the prime factorization of 16378 and 16384. After we will calculate the factors of 16378 and 16384 and find the biggest common factor number .

Step-1: Prime Factorization of 16378

Prime factors of 16378 are 2, 19, 431. Prime factorization of 16378 in exponential form is:

16378 = 2¹ × 19¹ × 431¹

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 16378

List of positive integer factors of 16378 that divides 16378 without a remainder.

1, 2, 19, 38, 431, 862, 8189

Step-4: Factors of 16384

List of positive integer factors of 16384 that divides 16378 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 16378 and 16384. The biggest common factor number is the GCF number.
So the greatest common factor 16378 and 16384 is 2.

Also check out the Least Common Multiple of 16378 and 16384