Greatest Common Factor of 3340 and 3345

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 3340, 3345 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3340 and 3345 is 5.

GCF(3340,3345) = 5

GCF of 3340 and 3345

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

GCF of:
and

Greatest Common Factor of 3340 and 3345

GCF of 3340 and 3345 is 5

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

Prime Factorization of 3345


3 3345
5 1115
223 223
1

Prime factors of 3345 are 3,5,223. Prime factorization of 3345 in exponential form is:

3345 = 31×51×2231

∴ So by taking common prime factors GCF of 3340 and 3345 is 5

Greatest Common Factor of 3340 and 3345 by matching factors method

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

Factors of 3345

List of positive integer factors of 3345 that divides 3345 without a remainder.

1,3,5,15,223,669,1115,3345

Greatest Common Factor

We found the factors and prime factorization of 3340 and 3345. The biggest common factor number is the GCF number.
So the greatest common factor 3340 and 3345 is 5.

Also check out the Least Common Multiple of 3340 and 3345

Properties of GCF 3340 and 3345

(i) The GCF of 3340 and 3345 is associative

GCF of 3340 and 3345 = GCF of 3345 and 3340

Related Greatest Common Factor of 3340

Related Greatest Common Factor of 3345

Frequently Asked Questions on GCF of 3340 and 3345

1. What is the GCF of 3340 and 3345?

Answer: GCF of 3340 and 3345 is 5.

2. 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.

3. What are the Factors of 3345?

Answer: Factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345. There are 8 integers that are factors of 3345. The greatest factor of 3345 is 3345.

4. How to Find the GCF of 3340 and 3345?

Answer:

Greatest Common Factor of 3340 and 3345 = 5

Step 1: Find the prime factorization of 3340

3340 = 2 x 2 x 5 x 167

Step 2: Find the prime factorization of 3345

3345 = 3 x 5 x 223

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 3340 and 3345 is 5