Greatest Common Factor of 329 and 331

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 329, 331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 329 and 331 is 1.

GCF(329,331) = 1

GCF of 329 and 331

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

GCF of:
and

Greatest Common Factor of 329 and 331

GCF of 329 and 331 is 1

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

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

∴ So by taking common prime factors GCF of 329 and 331 is 1

Greatest Common Factor of 329 and 331 by matching factors method

Factors of 329

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

1,7,47,329

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors and prime factorization of 329 and 331. The biggest common factor number is the GCF number.
So the greatest common factor 329 and 331 is 1.

Also check out the Least Common Multiple of 329 and 331

Properties of GCF 329 and 331

(i) The GCF of 329 and 331 is associative

GCF of 329 and 331 = GCF of 331 and 329

Related Greatest Common Factor of 329

Related Greatest Common Factor of 331

Frequently Asked Questions on GCF of 329 and 331

1. What is the GCF of 329 and 331?

Answer: GCF of 329 and 331 is 1.

2. 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.

3. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

4. How to Find the GCF of 329 and 331?

Answer:

Greatest Common Factor of 329 and 331 = 1

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 331

331 = 331

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 329 and 331 is 1