Greatest Common Factor of 330 and 335

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, 335 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 330 and 335 is 5.

GCF(330,335) = 5

GCF of 330 and 335

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

GCF of:
and

Greatest Common Factor of 330 and 335

GCF of 330 and 335 is 5

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 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

∴ So by taking common prime factors GCF of 330 and 335 is 5

Greatest Common Factor of 330 and 335 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 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors and prime factorization of 330 and 335. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 335 is 5.

Also check out the Least Common Multiple of 330 and 335

Properties of GCF 330 and 335

(i) The GCF of 330 and 335 is associative

GCF of 330 and 335 = GCF of 335 and 330

Related Greatest Common Factor of 330

Related Greatest Common Factor of 335

Frequently Asked Questions on GCF of 330 and 335

1. What is the GCF of 330 and 335?

Answer: GCF of 330 and 335 is 5.

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 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. How to Find the GCF of 330 and 335?

Answer:

Greatest Common Factor of 330 and 335 = 5

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 335

335 = 5 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 330 and 335 is 5