Greatest Common Factor of 322 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 322, 328 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 322 and 328 is 2.

GCF(322,328) = 2

GCF of 322 and 328

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

GCF of:
and

Greatest Common Factor of 322 and 328

GCF of 322 and 328 is 2

Prime Factorization of 322


2 322
7 161
23 23
1

Prime factors of 322 are 2,7,23. Prime factorization of 322 in exponential form is:

322 = 21×71×231

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 322 and 328 is 2

Greatest Common Factor of 322 and 328 by matching factors method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

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 322 and 328. The biggest common factor number is the GCF number.
So the greatest common factor 322 and 328 is 2.

Also check out the Least Common Multiple of 322 and 328

Properties of GCF 322 and 328

(i) The GCF of 322 and 328 is associative

GCF of 322 and 328 = GCF of 328 and 322

Related Greatest Common Factor of 322

Related Greatest Common Factor of 328

Frequently Asked Questions on GCF of 322 and 328

1. What is the GCF of 322 and 328?

Answer: GCF of 322 and 328 is 2.

2. What are the Factors of 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

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 322 and 328?

Answer:

Greatest Common Factor of 322 and 328 = 2

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

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

Step 4: Therefore, the greatest common factor of 322 and 328 is 2