Greatest Common Factor of 3335 and 3340

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 3335, 3340 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3335 and 3340 is 5.

GCF(3335,3340) = 5

GCF of 3335 and 3340

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

GCF of:
and

Greatest Common Factor of 3335 and 3340

GCF of 3335 and 3340 is 5

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

Prime Factorization of 3340


2 3340
2 1670
5 835
167 167
1

Prime factors of 3340 are 2,5,167. Prime factorization of 3340 in exponential form is:

3340 = 22×51×1671

∴ So by taking common prime factors GCF of 3335 and 3340 is 5

Greatest Common Factor of 3335 and 3340 by matching factors method

Factors of 3335

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

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

Factors of 3340

List of positive integer factors of 3340 that divides 3340 without a remainder.

1,2,4,5,10,20,167,334,668,835,1670,3340

Greatest Common Factor

We found the factors and prime factorization of 3335 and 3340. The biggest common factor number is the GCF number.
So the greatest common factor 3335 and 3340 is 5.

Also check out the Least Common Multiple of 3335 and 3340

Properties of GCF 3335 and 3340

(i) The GCF of 3335 and 3340 is associative

GCF of 3335 and 3340 = GCF of 3340 and 3335

Related Greatest Common Factor of 3335

Related Greatest Common Factor of 3340

Frequently Asked Questions on GCF of 3335 and 3340

1. What is the GCF of 3335 and 3340?

Answer: GCF of 3335 and 3340 is 5.

2. 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.

3. What are the Factors of 3340?

Answer: Factors of 3340 are 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340. There are 12 integers that are factors of 3340. The greatest factor of 3340 is 3340.

4. How to Find the GCF of 3335 and 3340?

Answer:

Greatest Common Factor of 3335 and 3340 = 5

Step 1: Find the prime factorization of 3335

3335 = 5 x 23 x 29

Step 2: Find the prime factorization of 3340

3340 = 2 x 2 x 5 x 167

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 3335 and 3340 is 5