Greatest Common Factor of 3315 and 3322

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, 3322 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3315 and 3322 is 1.

GCF(3315,3322) = 1

GCF of 3315 and 3322

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

GCF of:
and

Greatest Common Factor of 3315 and 3322

GCF of 3315 and 3322 is 1

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 3322


2 3322
11 1661
151 151
1

Prime factors of 3322 are 2,11,151. Prime factorization of 3322 in exponential form is:

3322 = 21×111×1511

∴ So by taking common prime factors GCF of 3315 and 3322 is 1

Greatest Common Factor of 3315 and 3322 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 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Greatest Common Factor

We found the factors and prime factorization of 3315 and 3322. The biggest common factor number is the GCF number.
So the greatest common factor 3315 and 3322 is 1.

Also check out the Least Common Multiple of 3315 and 3322

Properties of GCF 3315 and 3322

(i) The GCF of 3315 and 3322 is associative

GCF of 3315 and 3322 = GCF of 3322 and 3315

Frequently Asked Questions on GCF of 3315 and 3322

1. What is the GCF of 3315 and 3322?

Answer: GCF of 3315 and 3322 is 1.

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 3322?

Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.

4. How to Find the GCF of 3315 and 3322?

Answer:

Greatest Common Factor of 3315 and 3322 = 1

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3322

3322 = 2 x 11 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3315 and 3322 is 1