What is the Greatest Common Factor of 9801 and 9817?

Greatest common factor (GCF) of 9801 and 9817 is 1.

GCF(9801,9817) = 1

We will now calculate the prime factors of 9801 and 9817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9801 and 9817.

How to find the GCF of 9801 and 9817?

We will first find the prime factorization of 9801 and 9817. After we will calculate the factors of 9801 and 9817 and find the biggest common factor number .

Step-1: Prime Factorization of 9801

Prime factors of 9801 are 3, 11. Prime factorization of 9801 in exponential form is:

9801 = 3⁴ × 11²

Step-2: Prime Factorization of 9817

Prime factors of 9817 are 9817. Prime factorization of 9817 in exponential form is:

9817 = 9817¹

Step-3: Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267

Step-4: Factors of 9817

List of positive integer factors of 9817 that divides 9801 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9801 and 9817. The biggest common factor number is the GCF number.
So the greatest common factor 9801 and 9817 is 1.

Also check out the Least Common Multiple of 9801 and 9817