What is the Greatest Common Factor of 9801 and 9812?

Greatest common factor (GCF) of 9801 and 9812 is 11.

GCF(9801,9812) = 11

We will now calculate the prime factors of 9801 and 9812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9801 and 9812.

How to find the GCF of 9801 and 9812?

We will first find the prime factorization of 9801 and 9812. After we will calculate the factors of 9801 and 9812 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 9812

Prime factors of 9812 are 2, 11, 223. Prime factorization of 9812 in exponential form is:

9812 = 2² × 11¹ × 223¹

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 9812

List of positive integer factors of 9812 that divides 9801 without a remainder.

1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9801 and 9812. The biggest common factor number is the GCF number.
So the greatest common factor 9801 and 9812 is 11.

Also check out the Least Common Multiple of 9801 and 9812