Greatest Common Factor of 3315 and 3318

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, 3318 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3315 and 3318 is 3.

GCF(3315,3318) = 3

GCF of 3315 and 3318

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

GCF of:
and

Greatest Common Factor of 3315 and 3318

GCF of 3315 and 3318 is 3

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 3318


2 3318
3 1659
7 553
79 79
1

Prime factors of 3318 are 2,3,7,79. Prime factorization of 3318 in exponential form is:

3318 = 21×31×71×791

∴ So by taking common prime factors GCF of 3315 and 3318 is 3

Greatest Common Factor of 3315 and 3318 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 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Greatest Common Factor

We found the factors and prime factorization of 3315 and 3318. The biggest common factor number is the GCF number.
So the greatest common factor 3315 and 3318 is 3.

Also check out the Least Common Multiple of 3315 and 3318

Properties of GCF 3315 and 3318

(i) The GCF of 3315 and 3318 is associative

GCF of 3315 and 3318 = GCF of 3318 and 3315

Related Greatest Common Factor of 3315

Related Greatest Common Factor of 3318

Frequently Asked Questions on GCF of 3315 and 3318

1. What is the GCF of 3315 and 3318?

Answer: GCF of 3315 and 3318 is 3.

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 3318?

Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.

4. How to Find the GCF of 3315 and 3318?

Answer:

Greatest Common Factor of 3315 and 3318 = 3

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3318

3318 = 2 x 3 x 7 x 79

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3315 and 3318 is 3