What is the Greatest Common Factor of 9801 and 9816?

Greatest common factor (GCF) of 9801 and 9816 is 3.

GCF(9801,9816) = 3

We will now calculate the prime factors of 9801 and 9816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9801 and 9816.

How to find the GCF of 9801 and 9816?

We will first find the prime factorization of 9801 and 9816. After we will calculate the factors of 9801 and 9816 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 9816

Prime factors of 9816 are 2, 3, 409. Prime factorization of 9816 in exponential form is:

9816 = 2³ × 3¹ × 409¹

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 9816

List of positive integer factors of 9816 that divides 9801 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9801 and 9816. The biggest common factor number is the GCF number.
So the greatest common factor 9801 and 9816 is 3.

Also check out the Least Common Multiple of 9801 and 9816