What is the Greatest Common Factor of 9911 and 9922?

Greatest common factor (GCF) of 9911 and 9922 is 11.

GCF(9911,9922) = 11

We will now calculate the prime factors of 9911 and 9922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9911 and 9922.

How to find the GCF of 9911 and 9922?

We will first find the prime factorization of 9911 and 9922. After we will calculate the factors of 9911 and 9922 and find the biggest common factor number .

Step-1: Prime Factorization of 9911

Prime factors of 9911 are 11, 17, 53. Prime factorization of 9911 in exponential form is:

9911 = 11¹ × 17¹ × 53¹

Step-2: Prime Factorization of 9922

Prime factors of 9922 are 2, 11, 41. Prime factorization of 9922 in exponential form is:

9922 = 2¹ × 11² × 41¹

Step-3: Factors of 9911

List of positive integer factors of 9911 that divides 9911 without a remainder.

1, 11, 17, 53, 187, 583, 901

Step-4: Factors of 9922

List of positive integer factors of 9922 that divides 9911 without a remainder.

1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9911 and 9922. The biggest common factor number is the GCF number.
So the greatest common factor 9911 and 9922 is 11.

Also check out the Least Common Multiple of 9911 and 9922