Greatest Common Factor of 324 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 324, 329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 324 and 329 is 1.

GCF(324,329) = 1

GCF of 324 and 329

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

GCF of:
and

Greatest Common Factor of 324 and 329

GCF of 324 and 329 is 1

Prime Factorization of 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

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 324 and 329 is 1

Greatest Common Factor of 324 and 329 by matching factors method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

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 324 and 329. The biggest common factor number is the GCF number.
So the greatest common factor 324 and 329 is 1.

Also check out the Least Common Multiple of 324 and 329

Properties of GCF 324 and 329

(i) The GCF of 324 and 329 is associative

GCF of 324 and 329 = GCF of 329 and 324

Related Greatest Common Factor of 324

Related Greatest Common Factor of 329

Frequently Asked Questions on GCF of 324 and 329

1. What is the GCF of 324 and 329?

Answer: GCF of 324 and 329 is 1.

2. What are the Factors of 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

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 324 and 329?

Answer:

Greatest Common Factor of 324 and 329 = 1

Step 1: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

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 = = 1

Step 4: Therefore, the greatest common factor of 324 and 329 is 1