What is the Greatest Common Factor of 19899 and 19917?

Greatest common factor (GCF) of 19899 and 19917 is 9.

GCF(19899,19917) = 9

We will now calculate the prime factors of 19899 and 19917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19899 and 19917.

How to find the GCF of 19899 and 19917?

We will first find the prime factorization of 19899 and 19917. After we will calculate the factors of 19899 and 19917 and find the biggest common factor number .

Step-1: Prime Factorization of 19899

Prime factors of 19899 are 3, 11, 67. Prime factorization of 19899 in exponential form is:

19899 = 3³ × 11¹ × 67¹

Step-2: Prime Factorization of 19917

Prime factors of 19917 are 3, 2213. Prime factorization of 19917 in exponential form is:

19917 = 3² × 2213¹

Step-3: Factors of 19899

List of positive integer factors of 19899 that divides 19899 without a remainder.

1, 3, 9, 11, 27, 33, 67, 99, 201, 297, 603, 737, 1809, 2211, 6633

Step-4: Factors of 19917

List of positive integer factors of 19917 that divides 19899 without a remainder.

1, 3, 9, 2213, 6639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19899 and 19917. The biggest common factor number is the GCF number.
So the greatest common factor 19899 and 19917 is 9.

Also check out the Least Common Multiple of 19899 and 19917