What is the Greatest Common Factor of 9805 and 9809?

Greatest common factor (GCF) of 9805 and 9809 is 1.

GCF(9805,9809) = 1

We will now calculate the prime factors of 9805 and 9809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9805 and 9809.

How to find the GCF of 9805 and 9809?

We will first find the prime factorization of 9805 and 9809. After we will calculate the factors of 9805 and 9809 and find the biggest common factor number .

Step-1: Prime Factorization of 9805

Prime factors of 9805 are 5, 37, 53. Prime factorization of 9805 in exponential form is:

9805 = 5¹ × 37¹ × 53¹

Step-2: Prime Factorization of 9809

Prime factors of 9809 are 17, 577. Prime factorization of 9809 in exponential form is:

9809 = 17¹ × 577¹

Step-3: Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1, 5, 37, 53, 185, 265, 1961

Step-4: Factors of 9809

List of positive integer factors of 9809 that divides 9805 without a remainder.

1, 17, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9805 and 9809. The biggest common factor number is the GCF number.
So the greatest common factor 9805 and 9809 is 1.

Also check out the Least Common Multiple of 9805 and 9809