What is the Greatest Common Factor of 9338 and 9356?

Greatest common factor (GCF) of 9338 and 9356 is 2.

GCF(9338,9356) = 2

We will now calculate the prime factors of 9338 and 9356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9338 and 9356.

How to find the GCF of 9338 and 9356?

We will first find the prime factorization of 9338 and 9356. After we will calculate the factors of 9338 and 9356 and find the biggest common factor number .

Step-1: Prime Factorization of 9338

Prime factors of 9338 are 2, 7, 23, 29. Prime factorization of 9338 in exponential form is:

9338 = 2¹ × 7¹ × 23¹ × 29¹

Step-2: Prime Factorization of 9356

Prime factors of 9356 are 2, 2339. Prime factorization of 9356 in exponential form is:

9356 = 2² × 2339¹

Step-3: Factors of 9338

List of positive integer factors of 9338 that divides 9338 without a remainder.

1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669

Step-4: Factors of 9356

List of positive integer factors of 9356 that divides 9338 without a remainder.

1, 2, 4, 2339, 4678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9338 and 9356. The biggest common factor number is the GCF number.
So the greatest common factor 9338 and 9356 is 2.

Also check out the Least Common Multiple of 9338 and 9356