What is the Greatest Common Factor of 9299 and 9316?

Greatest common factor (GCF) of 9299 and 9316 is 17.

GCF(9299,9316) = 17

We will now calculate the prime factors of 9299 and 9316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9299 and 9316.

How to find the GCF of 9299 and 9316?

We will first find the prime factorization of 9299 and 9316. After we will calculate the factors of 9299 and 9316 and find the biggest common factor number .

Step-1: Prime Factorization of 9299

Prime factors of 9299 are 17, 547. Prime factorization of 9299 in exponential form is:

9299 = 17¹ × 547¹

Step-2: Prime Factorization of 9316

Prime factors of 9316 are 2, 17, 137. Prime factorization of 9316 in exponential form is:

9316 = 2² × 17¹ × 137¹

Step-3: Factors of 9299

List of positive integer factors of 9299 that divides 9299 without a remainder.

1, 17, 547

Step-4: Factors of 9316

List of positive integer factors of 9316 that divides 9299 without a remainder.

1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9299 and 9316. The biggest common factor number is the GCF number.
So the greatest common factor 9299 and 9316 is 17.

Also check out the Least Common Multiple of 9299 and 9316