Greatest Common Factor of 320 and 326

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, 326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 320 and 326 is 2.

GCF(320,326) = 2

GCF of 320 and 326

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

GCF of:
and

Greatest Common Factor of 320 and 326

GCF of 320 and 326 is 2

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 326


2 326
163 163
1

Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:

326 = 21×1631

∴ So by taking common prime factors GCF of 320 and 326 is 2

Greatest Common Factor of 320 and 326 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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors and prime factorization of 320 and 326. The biggest common factor number is the GCF number.
So the greatest common factor 320 and 326 is 2.

Also check out the Least Common Multiple of 320 and 326

Properties of GCF 320 and 326

(i) The GCF of 320 and 326 is associative

GCF of 320 and 326 = GCF of 326 and 320

Related Greatest Common Factor of 320

Related Greatest Common Factor of 326

Frequently Asked Questions on GCF of 320 and 326

1. What is the GCF of 320 and 326?

Answer: GCF of 320 and 326 is 2.

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 326?

Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.

4. How to Find the GCF of 320 and 326?

Answer:

Greatest Common Factor of 320 and 326 = 2

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 326

326 = 2 x 163

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

GCF = 2

Step 4: Therefore, the greatest common factor of 320 and 326 is 2