What is the Greatest Common Factor of 16909 and 16913?

Greatest common factor (GCF) of 16909 and 16913 is 1.

GCF(16909,16913) = 1

We will now calculate the prime factors of 16909 and 16913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16909 and 16913.

How to find the GCF of 16909 and 16913?

We will first find the prime factorization of 16909 and 16913. After we will calculate the factors of 16909 and 16913 and find the biggest common factor number .

Step-1: Prime Factorization of 16909

Prime factors of 16909 are 37, 457. Prime factorization of 16909 in exponential form is:

16909 = 37¹ × 457¹

Step-2: Prime Factorization of 16913

Prime factors of 16913 are 13, 1301. Prime factorization of 16913 in exponential form is:

16913 = 13¹ × 1301¹

Step-3: Factors of 16909

List of positive integer factors of 16909 that divides 16909 without a remainder.

1, 37, 457

Step-4: Factors of 16913

List of positive integer factors of 16913 that divides 16909 without a remainder.

1, 13, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16909 and 16913. The biggest common factor number is the GCF number.
So the greatest common factor 16909 and 16913 is 1.

Also check out the Least Common Multiple of 16909 and 16913