What is the Greatest Common Factor of 99903 and 99909?

Greatest common factor (GCF) of 99903 and 99909 is 3.

GCF(99903,99909) = 3

We will now calculate the prime factors of 99903 and 99909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99903 and 99909.

How to find the GCF of 99903 and 99909?

We will first find the prime factorization of 99903 and 99909. After we will calculate the factors of 99903 and 99909 and find the biggest common factor number .

Step-1: Prime Factorization of 99903

Prime factors of 99903 are 3, 33301. Prime factorization of 99903 in exponential form is:

99903 = 3¹ × 33301¹

Step-2: Prime Factorization of 99909

Prime factors of 99909 are 3, 17, 653. Prime factorization of 99909 in exponential form is:

99909 = 3² × 17¹ × 653¹

Step-3: Factors of 99903

List of positive integer factors of 99903 that divides 99903 without a remainder.

1, 3, 33301

Step-4: Factors of 99909

List of positive integer factors of 99909 that divides 99903 without a remainder.

1, 3, 9, 17, 51, 153, 653, 1959, 5877, 11101, 33303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99903 and 99909. The biggest common factor number is the GCF number.
So the greatest common factor 99903 and 99909 is 3.

Also check out the Least Common Multiple of 99903 and 99909