What is the Greatest Common Factor of 16882 and 16900?

Greatest common factor (GCF) of 16882 and 16900 is 2.

GCF(16882,16900) = 2

We will now calculate the prime factors of 16882 and 16900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16882 and 16900.

How to find the GCF of 16882 and 16900?

We will first find the prime factorization of 16882 and 16900. After we will calculate the factors of 16882 and 16900 and find the biggest common factor number .

Step-1: Prime Factorization of 16882

Prime factors of 16882 are 2, 23, 367. Prime factorization of 16882 in exponential form is:

16882 = 2¹ × 23¹ × 367¹

Step-2: 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-3: Factors of 16882

List of positive integer factors of 16882 that divides 16882 without a remainder.

1, 2, 23, 46, 367, 734, 8441

Step-4: Factors of 16900

List of positive integer factors of 16900 that divides 16882 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16882 and 16900. The biggest common factor number is the GCF number.
So the greatest common factor 16882 and 16900 is 2.

Also check out the Least Common Multiple of 16882 and 16900