What is the Greatest Common Factor of 16900 and 16912?

Greatest common factor (GCF) of 16900 and 16912 is 4.

GCF(16900,16912) = 4

We will now calculate the prime factors of 16900 and 16912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16900 and 16912.

How to find the GCF of 16900 and 16912?

We will first find the prime factorization of 16900 and 16912. After we will calculate the factors of 16900 and 16912 and find the biggest common factor number .

Step-1: Prime Factorization of 16900

Prime factors of 16900 are 2, 5, 13. Prime factorization of 16900 in exponential form is:

16900 = 2² × 5² × 13²

Step-2: 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-3: Factors of 16900

List of positive integer factors of 16900 that divides 16900 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450

Step-4: Factors of 16912

List of positive integer factors of 16912 that divides 16900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16900 and 16912. The biggest common factor number is the GCF number.
So the greatest common factor 16900 and 16912 is 4.

Also check out the Least Common Multiple of 16900 and 16912