Greatest Common Factor of 321 and 324

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 321, 324 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321 and 324 is 3.

GCF(321,324) = 3

GCF of 321 and 324

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

GCF of:
and

Greatest Common Factor of 321 and 324

GCF of 321 and 324 is 3

Prime Factorization of 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

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

∴ So by taking common prime factors GCF of 321 and 324 is 3

Greatest Common Factor of 321 and 324 by matching factors method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

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

Greatest Common Factor

We found the factors and prime factorization of 321 and 324. The biggest common factor number is the GCF number.
So the greatest common factor 321 and 324 is 3.

Also check out the Least Common Multiple of 321 and 324

Properties of GCF 321 and 324

(i) The GCF of 321 and 324 is associative

GCF of 321 and 324 = GCF of 324 and 321

Related Greatest Common Factor of 321

Related Greatest Common Factor of 324

Frequently Asked Questions on GCF of 321 and 324

1. What is the GCF of 321 and 324?

Answer: GCF of 321 and 324 is 3.

2. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

3. 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.

4. How to Find the GCF of 321 and 324?

Answer:

Greatest Common Factor of 321 and 324 = 3

Step 1: Find the prime factorization of 321

321 = 3 x 107

Step 2: Find the prime factorization of 324

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 321 and 324 is 3