What is the Greatest Common Factor of 9334 and 9347?

Greatest common factor (GCF) of 9334 and 9347 is 13.

GCF(9334,9347) = 13

We will now calculate the prime factors of 9334 and 9347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9334 and 9347.

How to find the GCF of 9334 and 9347?

We will first find the prime factorization of 9334 and 9347. After we will calculate the factors of 9334 and 9347 and find the biggest common factor number .

Step-1: Prime Factorization of 9334

Prime factors of 9334 are 2, 13, 359. Prime factorization of 9334 in exponential form is:

9334 = 2¹ × 13¹ × 359¹

Step-2: Prime Factorization of 9347

Prime factors of 9347 are 13, 719. Prime factorization of 9347 in exponential form is:

9347 = 13¹ × 719¹

Step-3: Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1, 2, 13, 26, 359, 718, 4667

Step-4: Factors of 9347

List of positive integer factors of 9347 that divides 9334 without a remainder.

1, 13, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9334 and 9347. The biggest common factor number is the GCF number.
So the greatest common factor 9334 and 9347 is 13.

Also check out the Least Common Multiple of 9334 and 9347