What is the Greatest Common Factor of 9303 and 9317?

Greatest common factor (GCF) of 9303 and 9317 is 7.

GCF(9303,9317) = 7

We will now calculate the prime factors of 9303 and 9317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9303 and 9317.

How to find the GCF of 9303 and 9317?

We will first find the prime factorization of 9303 and 9317. After we will calculate the factors of 9303 and 9317 and find the biggest common factor number .

Step-1: Prime Factorization of 9303

Prime factors of 9303 are 3, 7, 443. Prime factorization of 9303 in exponential form is:

9303 = 3¹ × 7¹ × 443¹

Step-2: Prime Factorization of 9317

Prime factors of 9317 are 7, 11. Prime factorization of 9317 in exponential form is:

9317 = 7¹ × 11³

Step-3: Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1, 3, 7, 21, 443, 1329, 3101

Step-4: Factors of 9317

List of positive integer factors of 9317 that divides 9303 without a remainder.

1, 7, 11, 77, 121, 847, 1331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9303 and 9317. The biggest common factor number is the GCF number.
So the greatest common factor 9303 and 9317 is 7.

Also check out the Least Common Multiple of 9303 and 9317