Greatest Common Factor of 322 and 329

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, 329 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 322 and 329 is 7.

GCF(322,329) = 7

GCF of 322 and 329

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

GCF of:
and

Greatest Common Factor of 322 and 329

GCF of 322 and 329 is 7

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 329


7 329
47 47
1

Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:

329 = 71×471

∴ So by taking common prime factors GCF of 322 and 329 is 7

Greatest Common Factor of 322 and 329 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 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors and prime factorization of 322 and 329. The biggest common factor number is the GCF number.
So the greatest common factor 322 and 329 is 7.

Also check out the Least Common Multiple of 322 and 329

Properties of GCF 322 and 329

(i) The GCF of 322 and 329 is associative

GCF of 322 and 329 = GCF of 329 and 322

Related Greatest Common Factor of 322

Related Greatest Common Factor of 329

Frequently Asked Questions on GCF of 322 and 329

1. What is the GCF of 322 and 329?

Answer: GCF of 322 and 329 is 7.

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 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

4. How to Find the GCF of 322 and 329?

Answer:

Greatest Common Factor of 322 and 329 = 7

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 329

329 = 7 x 47

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

GCF = 7

Step 4: Therefore, the greatest common factor of 322 and 329 is 7