What is the Greatest Common Factor of 9312 and 9329?

Greatest common factor (GCF) of 9312 and 9329 is 1.

GCF(9312,9329) = 1

We will now calculate the prime factors of 9312 and 9329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9312 and 9329.

How to find the GCF of 9312 and 9329?

We will first find the prime factorization of 9312 and 9329. After we will calculate the factors of 9312 and 9329 and find the biggest common factor number .

Step-1: Prime Factorization of 9312

Prime factors of 9312 are 2, 3, 97. Prime factorization of 9312 in exponential form is:

9312 = 2⁵ × 3¹ × 97¹

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 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656

Step-4: Factors of 9329

List of positive integer factors of 9329 that divides 9312 without a remainder.

1, 19, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9312 and 9329. The biggest common factor number is the GCF number.
So the greatest common factor 9312 and 9329 is 1.

Also check out the Least Common Multiple of 9312 and 9329