What is the Greatest Common Factor of 9314 and 9328?

Greatest common factor (GCF) of 9314 and 9328 is 2.

GCF(9314,9328) = 2

We will now calculate the prime factors of 9314 and 9328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9314 and 9328.

How to find the GCF of 9314 and 9328?

We will first find the prime factorization of 9314 and 9328. After we will calculate the factors of 9314 and 9328 and find the biggest common factor number .

Step-1: Prime Factorization of 9314

Prime factors of 9314 are 2, 4657. Prime factorization of 9314 in exponential form is:

9314 = 2¹ × 4657¹

Step-2: Prime Factorization of 9328

Prime factors of 9328 are 2, 11, 53. Prime factorization of 9328 in exponential form is:

9328 = 2⁴ × 11¹ × 53¹

Step-3: Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1, 2, 4657

Step-4: Factors of 9328

List of positive integer factors of 9328 that divides 9314 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 53, 88, 106, 176, 212, 424, 583, 848, 1166, 2332, 4664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9314 and 9328. The biggest common factor number is the GCF number.
So the greatest common factor 9314 and 9328 is 2.

Also check out the Least Common Multiple of 9314 and 9328