Greatest Common Factor of 320 and 328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 320, 328 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 320 and 328 is 8.

GCF(320,328) = 8

GCF of 320 and 328

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 320 and 328

GCF of 320 and 328 is 8

Prime Factorization of 320


2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 320 are 2,5. Prime factorization of 320 in exponential form is:

320 = 26×51

Prime Factorization of 328


2 328
2 164
2 82
41 41
1

Prime factors of 328 are 2,41. Prime factorization of 328 in exponential form is:

328 = 23×411

∴ So by taking common prime factors GCF of 320 and 328 is 8

Greatest Common Factor of 320 and 328 by matching factors method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors and prime factorization of 320 and 328. The biggest common factor number is the GCF number.
So the greatest common factor 320 and 328 is 8.

Also check out the Least Common Multiple of 320 and 328

Properties of GCF 320 and 328

(i) The GCF of 320 and 328 is associative

GCF of 320 and 328 = GCF of 328 and 320

Related Greatest Common Factor of 320

Related Greatest Common Factor of 328

Frequently Asked Questions on GCF of 320 and 328

1. What is the GCF of 320 and 328?

Answer: GCF of 320 and 328 is 8.

2. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

3. What are the Factors of 328?

Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.

4. How to Find the GCF of 320 and 328?

Answer:

Greatest Common Factor of 320 and 328 = 8

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 320 and 328 is 8