What is the Greatest Common Factor of 16376 and 16384?

Greatest common factor (GCF) of 16376 and 16384 is 8.

GCF(16376,16384) = 8

We will now calculate the prime factors of 16376 and 16384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16376 and 16384.

How to find the GCF of 16376 and 16384?

We will first find the prime factorization of 16376 and 16384. After we will calculate the factors of 16376 and 16384 and find the biggest common factor number .

Step-1: Prime Factorization of 16376

Prime factors of 16376 are 2, 23, 89. Prime factorization of 16376 in exponential form is:

16376 = 2³ × 23¹ × 89¹

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 16376

List of positive integer factors of 16376 that divides 16376 without a remainder.

1, 2, 4, 8, 23, 46, 89, 92, 178, 184, 356, 712, 2047, 4094, 8188

Step-4: Factors of 16384

List of positive integer factors of 16384 that divides 16376 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 16376 and 16384. The biggest common factor number is the GCF number.
So the greatest common factor 16376 and 16384 is 8.

Also check out the Least Common Multiple of 16376 and 16384