What is the Greatest Common Factor of 9914 and 9922?

Greatest common factor (GCF) of 9914 and 9922 is 2.

GCF(9914,9922) = 2

We will now calculate the prime factors of 9914 and 9922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9914 and 9922.

How to find the GCF of 9914 and 9922?

We will first find the prime factorization of 9914 and 9922. After we will calculate the factors of 9914 and 9922 and find the biggest common factor number .

Step-1: Prime Factorization of 9914

Prime factors of 9914 are 2, 4957. Prime factorization of 9914 in exponential form is:

9914 = 2¹ × 4957¹

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 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1, 2, 4957

Step-4: Factors of 9922

List of positive integer factors of 9922 that divides 9914 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 9914 and 9922. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9922 is 2.

Also check out the Least Common Multiple of 9914 and 9922