What is the Greatest Common Factor of 9310 and 9329?

Greatest common factor (GCF) of 9310 and 9329 is 19.

GCF(9310,9329) = 19

We will now calculate the prime factors of 9310 and 9329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9310 and 9329.

How to find the GCF of 9310 and 9329?

We will first find the prime factorization of 9310 and 9329. After we will calculate the factors of 9310 and 9329 and find the biggest common factor number .

Step-1: Prime Factorization of 9310

Prime factors of 9310 are 2, 5, 7, 19. Prime factorization of 9310 in exponential form is:

9310 = 2¹ × 5¹ × 7² × 19¹

Step-2: Prime Factorization of 9329

Prime factors of 9329 are 19, 491. Prime factorization of 9329 in exponential form is:

9329 = 19¹ × 491¹

Step-3: Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655

Step-4: Factors of 9329

List of positive integer factors of 9329 that divides 9310 without a remainder.

1, 19, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9310 and 9329. The biggest common factor number is the GCF number.
So the greatest common factor 9310 and 9329 is 19.

Also check out the Least Common Multiple of 9310 and 9329