What is the Greatest Common Factor of 9914 and 9932?

Greatest common factor (GCF) of 9914 and 9932 is 2.

GCF(9914,9932) = 2

We will now calculate the prime factors of 9914 and 9932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9914 and 9932.

How to find the GCF of 9914 and 9932?

We will first find the prime factorization of 9914 and 9932. After we will calculate the factors of 9914 and 9932 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 9932

Prime factors of 9932 are 2, 13, 191. Prime factorization of 9932 in exponential form is:

9932 = 2² × 13¹ × 191¹

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 9932

List of positive integer factors of 9932 that divides 9914 without a remainder.

1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9914 and 9932. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9932 is 2.

Also check out the Least Common Multiple of 9914 and 9932