Greatest Common Factor of 330 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 330, 331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 330 and 331 is 1.

GCF(330,331) = 1

GCF of 330 and 331

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

GCF of:
and

Greatest Common Factor of 330 and 331

GCF of 330 and 331 is 1

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2,3,5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

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 330 and 331 is 1

Greatest Common Factor of 330 and 331 by matching factors method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

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 330 and 331. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 331 is 1.

Also check out the Least Common Multiple of 330 and 331

Properties of GCF 330 and 331

(i) The GCF of 330 and 331 is associative

GCF of 330 and 331 = GCF of 331 and 330

Related Greatest Common Factor of 330

Related Greatest Common Factor of 331

Frequently Asked Questions on GCF of 330 and 331

1. What is the GCF of 330 and 331?

Answer: GCF of 330 and 331 is 1.

2. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

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 330 and 331?

Answer:

Greatest Common Factor of 330 and 331 = 1

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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 330 and 331 is 1