What is the Greatest Common Factor of 9926 and 9938?

Greatest common factor (GCF) of 9926 and 9938 is 2.

GCF(9926,9938) = 2

We will now calculate the prime factors of 9926 and 9938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9926 and 9938.

How to find the GCF of 9926 and 9938?

We will first find the prime factorization of 9926 and 9938. After we will calculate the factors of 9926 and 9938 and find the biggest common factor number .

Step-1: Prime Factorization of 9926

Prime factors of 9926 are 2, 7, 709. Prime factorization of 9926 in exponential form is:

9926 = 2¹ × 7¹ × 709¹

Step-2: Prime Factorization of 9938

Prime factors of 9938 are 2, 4969. Prime factorization of 9938 in exponential form is:

9938 = 2¹ × 4969¹

Step-3: Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1, 2, 7, 14, 709, 1418, 4963

Step-4: Factors of 9938

List of positive integer factors of 9938 that divides 9926 without a remainder.

1, 2, 4969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9926 and 9938. The biggest common factor number is the GCF number.
So the greatest common factor 9926 and 9938 is 2.

Also check out the Least Common Multiple of 9926 and 9938