Greatest Common Factor of 3305 and 3310

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 3305, 3310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3305 and 3310 is 5.

GCF(3305,3310) = 5

GCF of 3305 and 3310

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

GCF of:
and

Greatest Common Factor of 3305 and 3310

GCF of 3305 and 3310 is 5

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

Prime Factorization of 3310


2 3310
5 1655
331 331
1

Prime factors of 3310 are 2,5,331. Prime factorization of 3310 in exponential form is:

3310 = 21×51×3311

∴ So by taking common prime factors GCF of 3305 and 3310 is 5

Greatest Common Factor of 3305 and 3310 by matching factors method

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

Greatest Common Factor

We found the factors and prime factorization of 3305 and 3310. The biggest common factor number is the GCF number.
So the greatest common factor 3305 and 3310 is 5.

Also check out the Least Common Multiple of 3305 and 3310

Properties of GCF 3305 and 3310

(i) The GCF of 3305 and 3310 is associative

GCF of 3305 and 3310 = GCF of 3310 and 3305

Related Greatest Common Factor of 3305

Related Greatest Common Factor of 3310

Frequently Asked Questions on GCF of 3305 and 3310

1. What is the GCF of 3305 and 3310?

Answer: GCF of 3305 and 3310 is 5.

2. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

3. What are the Factors of 3310?

Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.

4. How to Find the GCF of 3305 and 3310?

Answer:

Greatest Common Factor of 3305 and 3310 = 5

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3310

3310 = 2 x 5 x 331

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 3305 and 3310 is 5