Greatest Common Factor of 3315 and 3320

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 3315, 3320 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3315 and 3320 is 5.

GCF(3315,3320) = 5

GCF of 3315 and 3320

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

GCF of:
and

Greatest Common Factor of 3315 and 3320

GCF of 3315 and 3320 is 5

Prime Factorization of 3315


3 3315
5 1105
13 221
17 17
1

Prime factors of 3315 are 3,5,13,17. Prime factorization of 3315 in exponential form is:

3315 = 31×51×131×171

Prime Factorization of 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2,5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

∴ So by taking common prime factors GCF of 3315 and 3320 is 5

Greatest Common Factor of 3315 and 3320 by matching factors method

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320

Greatest Common Factor

We found the factors and prime factorization of 3315 and 3320. The biggest common factor number is the GCF number.
So the greatest common factor 3315 and 3320 is 5.

Also check out the Least Common Multiple of 3315 and 3320

Properties of GCF 3315 and 3320

(i) The GCF of 3315 and 3320 is associative

GCF of 3315 and 3320 = GCF of 3320 and 3315

Related Greatest Common Factor of 3315

Related Greatest Common Factor of 3320

Frequently Asked Questions on GCF of 3315 and 3320

1. What is the GCF of 3315 and 3320?

Answer: GCF of 3315 and 3320 is 5.

2. What are the Factors of 3315?

Answer: Factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315. There are 16 integers that are factors of 3315. The greatest factor of 3315 is 3315.

3. What are the Factors of 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

4. How to Find the GCF of 3315 and 3320?

Answer:

Greatest Common Factor of 3315 and 3320 = 5

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

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 3315 and 3320 is 5