Greatest Common Factor of 3330 and 3335

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 3330, 3335 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3330 and 3335 is 5.

GCF(3330,3335) = 5

GCF of 3330 and 3335

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

GCF of:
and

Greatest Common Factor of 3330 and 3335

GCF of 3330 and 3335 is 5

Prime Factorization of 3330


2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 3330 are 2,3,5,37. Prime factorization of 3330 in exponential form is:

3330 = 21×32×51×371

Prime Factorization of 3335


5 3335
23 667
29 29
1

Prime factors of 3335 are 5,23,29. Prime factorization of 3335 in exponential form is:

3335 = 51×231×291

∴ So by taking common prime factors GCF of 3330 and 3335 is 5

Greatest Common Factor of 3330 and 3335 by matching factors method

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330

Factors of 3335

List of positive integer factors of 3335 that divides 3335 without a remainder.

1,5,23,29,115,145,667,3335

Greatest Common Factor

We found the factors and prime factorization of 3330 and 3335. The biggest common factor number is the GCF number.
So the greatest common factor 3330 and 3335 is 5.

Also check out the Least Common Multiple of 3330 and 3335

Properties of GCF 3330 and 3335

(i) The GCF of 3330 and 3335 is associative

GCF of 3330 and 3335 = GCF of 3335 and 3330

Related Greatest Common Factor of 3330

Related Greatest Common Factor of 3335

Frequently Asked Questions on GCF of 3330 and 3335

1. What is the GCF of 3330 and 3335?

Answer: GCF of 3330 and 3335 is 5.

2. What are the Factors of 3330?

Answer: Factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330. There are 24 integers that are factors of 3330. The greatest factor of 3330 is 3330.

3. What are the Factors of 3335?

Answer: Factors of 3335 are 1, 5, 23, 29, 115, 145, 667, 3335. There are 8 integers that are factors of 3335. The greatest factor of 3335 is 3335.

4. How to Find the GCF of 3330 and 3335?

Answer:

Greatest Common Factor of 3330 and 3335 = 5

Step 1: Find the prime factorization of 3330

3330 = 2 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 3335

3335 = 5 x 23 x 29

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 3330 and 3335 is 5