What is the Greatest Common Factor of 16908 and 16919?

Greatest common factor (GCF) of 16908 and 16919 is 1.

GCF(16908,16919) = 1

We will now calculate the prime factors of 16908 and 16919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16908 and 16919.

How to find the GCF of 16908 and 16919?

We will first find the prime factorization of 16908 and 16919. After we will calculate the factors of 16908 and 16919 and find the biggest common factor number .

Step-1: Prime Factorization of 16908

Prime factors of 16908 are 2, 3, 1409. Prime factorization of 16908 in exponential form is:

16908 = 2² × 3¹ × 1409¹

Step-2: Prime Factorization of 16919

Prime factors of 16919 are 7, 2417. Prime factorization of 16919 in exponential form is:

16919 = 7¹ × 2417¹

Step-3: Factors of 16908

List of positive integer factors of 16908 that divides 16908 without a remainder.

1, 2, 3, 4, 6, 12, 1409, 2818, 4227, 5636, 8454

Step-4: Factors of 16919

List of positive integer factors of 16919 that divides 16908 without a remainder.

1, 7, 2417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16908 and 16919. The biggest common factor number is the GCF number.
So the greatest common factor 16908 and 16919 is 1.

Also check out the Least Common Multiple of 16908 and 16919