Greatest Common Factor of 330 and 332

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, 332 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 330 and 332 is 2.

GCF(330,332) = 2

GCF of 330 and 332

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

GCF of:
and

Greatest Common Factor of 330 and 332

GCF of 330 and 332 is 2

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 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

∴ So by taking common prime factors GCF of 330 and 332 is 2

Greatest Common Factor of 330 and 332 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 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors and prime factorization of 330 and 332. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 332 is 2.

Also check out the Least Common Multiple of 330 and 332

Properties of GCF 330 and 332

(i) The GCF of 330 and 332 is associative

GCF of 330 and 332 = GCF of 332 and 330

Related Greatest Common Factor of 330

Related Greatest Common Factor of 332

Frequently Asked Questions on GCF of 330 and 332

1. What is the GCF of 330 and 332?

Answer: GCF of 330 and 332 is 2.

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 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the GCF of 330 and 332?

Answer:

Greatest Common Factor of 330 and 332 = 2

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

GCF = 2

Step 4: Therefore, the greatest common factor of 330 and 332 is 2