Greatest Common Factor of 327 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 327, 329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 327 and 329 is 1.

GCF(327,329) = 1

GCF of 327 and 329

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

GCF of:
and

Greatest Common Factor of 327 and 329

GCF of 327 and 329 is 1

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

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 327 and 329 is 1

Greatest Common Factor of 327 and 329 by matching factors method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

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 327 and 329. The biggest common factor number is the GCF number.
So the greatest common factor 327 and 329 is 1.

Also check out the Least Common Multiple of 327 and 329

Properties of GCF 327 and 329

(i) The GCF of 327 and 329 is associative

GCF of 327 and 329 = GCF of 329 and 327

Frequently Asked Questions on GCF of 327 and 329

1. What is the GCF of 327 and 329?

Answer: GCF of 327 and 329 is 1.

2. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

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 327 and 329?

Answer:

Greatest Common Factor of 327 and 329 = 1

Step 1: Find the prime factorization of 327

327 = 3 x 109

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 327 and 329 is 1