What is the Greatest Common Factor of 16912 and 16928?

Greatest common factor (GCF) of 16912 and 16928 is 16.

GCF(16912,16928) = 16

We will now calculate the prime factors of 16912 and 16928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16912 and 16928.

How to find the GCF of 16912 and 16928?

We will first find the prime factorization of 16912 and 16928. After we will calculate the factors of 16912 and 16928 and find the biggest common factor number .

Step-1: Prime Factorization of 16912

Prime factors of 16912 are 2, 7, 151. Prime factorization of 16912 in exponential form is:

16912 = 2⁴ × 7¹ × 151¹

Step-2: Prime Factorization of 16928

Prime factors of 16928 are 2, 23. Prime factorization of 16928 in exponential form is:

16928 = 2⁵ × 23²

Step-3: Factors of 16912

List of positive integer factors of 16912 that divides 16912 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 151, 302, 604, 1057, 1208, 2114, 2416, 4228, 8456

Step-4: Factors of 16928

List of positive integer factors of 16928 that divides 16912 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 529, 736, 1058, 2116, 4232, 8464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16912 and 16928. The biggest common factor number is the GCF number.
So the greatest common factor 16912 and 16928 is 16.

Also check out the Least Common Multiple of 16912 and 16928