What is the Greatest Common Factor of 16900 and 16917?

Greatest common factor (GCF) of 16900 and 16917 is 1.

GCF(16900,16917) = 1

We will now calculate the prime factors of 16900 and 16917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16900 and 16917.

How to find the GCF of 16900 and 16917?

We will first find the prime factorization of 16900 and 16917. After we will calculate the factors of 16900 and 16917 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 16917

Prime factors of 16917 are 3, 5639. Prime factorization of 16917 in exponential form is:

16917 = 3¹ × 5639¹

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 16917

List of positive integer factors of 16917 that divides 16900 without a remainder.

1, 3, 5639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16900 and 16917. The biggest common factor number is the GCF number.
So the greatest common factor 16900 and 16917 is 1.

Also check out the Least Common Multiple of 16900 and 16917