What is the Greatest Common Factor of 9328 and 9344?

Greatest common factor (GCF) of 9328 and 9344 is 16.

GCF(9328,9344) = 16

We will now calculate the prime factors of 9328 and 9344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9328 and 9344.

How to find the GCF of 9328 and 9344?

We will first find the prime factorization of 9328 and 9344. After we will calculate the factors of 9328 and 9344 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9344

Prime factors of 9344 are 2, 73. Prime factorization of 9344 in exponential form is:

9344 = 2⁷ × 73¹

Step-3: Factors of 9328

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

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

Step-4: Factors of 9344

List of positive integer factors of 9344 that divides 9328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9328 and 9344. The biggest common factor number is the GCF number.
So the greatest common factor 9328 and 9344 is 16.

Also check out the Least Common Multiple of 9328 and 9344