What is the Greatest Common Factor of 99909 and 99926?

Greatest common factor (GCF) of 99909 and 99926 is 17.

GCF(99909,99926) = 17

We will now calculate the prime factors of 99909 and 99926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99909 and 99926.

How to find the GCF of 99909 and 99926?

We will first find the prime factorization of 99909 and 99926. After we will calculate the factors of 99909 and 99926 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99926

Prime factors of 99926 are 2, 17, 2939. Prime factorization of 99926 in exponential form is:

99926 = 2¹ × 17¹ × 2939¹

Step-3: Factors of 99909

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

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

Step-4: Factors of 99926

List of positive integer factors of 99926 that divides 99909 without a remainder.

1, 2, 17, 34, 2939, 5878, 49963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99909 and 99926. The biggest common factor number is the GCF number.
So the greatest common factor 99909 and 99926 is 17.

Also check out the Least Common Multiple of 99909 and 99926