What is the Greatest Common Factor of 9795 and 9809?

Greatest common factor (GCF) of 9795 and 9809 is 1.

GCF(9795,9809) = 1

We will now calculate the prime factors of 9795 and 9809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9795 and 9809.

How to find the GCF of 9795 and 9809?

We will first find the prime factorization of 9795 and 9809. After we will calculate the factors of 9795 and 9809 and find the biggest common factor number .

Step-1: Prime Factorization of 9795

Prime factors of 9795 are 3, 5, 653. Prime factorization of 9795 in exponential form is:

9795 = 3¹ × 5¹ × 653¹

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 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265

Step-4: Factors of 9809

List of positive integer factors of 9809 that divides 9795 without a remainder.

1, 17, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9795 and 9809. The biggest common factor number is the GCF number.
So the greatest common factor 9795 and 9809 is 1.

Also check out the Least Common Multiple of 9795 and 9809