What is the Greatest Common Factor of 9905 and 9909?

Greatest common factor (GCF) of 9905 and 9909 is 1.

GCF(9905,9909) = 1

We will now calculate the prime factors of 9905 and 9909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9905 and 9909.

How to find the GCF of 9905 and 9909?

We will first find the prime factorization of 9905 and 9909. After we will calculate the factors of 9905 and 9909 and find the biggest common factor number .

Step-1: Prime Factorization of 9905

Prime factors of 9905 are 5, 7, 283. Prime factorization of 9905 in exponential form is:

9905 = 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 9909

Prime factors of 9909 are 3, 367. Prime factorization of 9909 in exponential form is:

9909 = 3³ × 367¹

Step-3: Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1, 5, 7, 35, 283, 1415, 1981

Step-4: Factors of 9909

List of positive integer factors of 9909 that divides 9905 without a remainder.

1, 3, 9, 27, 367, 1101, 3303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9905 and 9909. The biggest common factor number is the GCF number.
So the greatest common factor 9905 and 9909 is 1.

Also check out the Least Common Multiple of 9905 and 9909