What is the Greatest Common Factor of 16899 and 16911?

Greatest common factor (GCF) of 16899 and 16911 is 3.

GCF(16899,16911) = 3

We will now calculate the prime factors of 16899 and 16911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16899 and 16911.

How to find the GCF of 16899 and 16911?

We will first find the prime factorization of 16899 and 16911. After we will calculate the factors of 16899 and 16911 and find the biggest common factor number .

Step-1: Prime Factorization of 16899

Prime factors of 16899 are 3, 43, 131. Prime factorization of 16899 in exponential form is:

16899 = 3¹ × 43¹ × 131¹

Step-2: Prime Factorization of 16911

Prime factors of 16911 are 3, 1879. Prime factorization of 16911 in exponential form is:

16911 = 3² × 1879¹

Step-3: Factors of 16899

List of positive integer factors of 16899 that divides 16899 without a remainder.

1, 3, 43, 129, 131, 393, 5633

Step-4: Factors of 16911

List of positive integer factors of 16911 that divides 16899 without a remainder.

1, 3, 9, 1879, 5637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16899 and 16911. The biggest common factor number is the GCF number.
So the greatest common factor 16899 and 16911 is 3.

Also check out the Least Common Multiple of 16899 and 16911