Greatest Common Factor of 3105 and 3111

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 3105, 3111 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3105 and 3111 is 3.

GCF(3105,3111) = 3

GCF of 3105 and 3111

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

GCF of:
and

Greatest Common Factor of 3105 and 3111

GCF of 3105 and 3111 is 3

Prime Factorization of 3105


3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 3105 are 3,5,23. Prime factorization of 3105 in exponential form is:

3105 = 33×51×231

Prime Factorization of 3111


3 3111
17 1037
61 61
1

Prime factors of 3111 are 3,17,61. Prime factorization of 3111 in exponential form is:

3111 = 31×171×611

∴ So by taking common prime factors GCF of 3105 and 3111 is 3

Greatest Common Factor of 3105 and 3111 by matching factors method

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105

Factors of 3111

List of positive integer factors of 3111 that divides 3111 without a remainder.

1,3,17,51,61,183,1037,3111

Greatest Common Factor

We found the factors and prime factorization of 3105 and 3111. The biggest common factor number is the GCF number.
So the greatest common factor 3105 and 3111 is 3.

Also check out the Least Common Multiple of 3105 and 3111

Properties of GCF 3105 and 3111

(i) The GCF of 3105 and 3111 is associative

GCF of 3105 and 3111 = GCF of 3111 and 3105

Related Greatest Common Factor of 3105

Related Greatest Common Factor of 3111

Frequently Asked Questions on GCF of 3105 and 3111

1. What is the GCF of 3105 and 3111?

Answer: GCF of 3105 and 3111 is 3.

2. What are the Factors of 3105?

Answer: Factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105. There are 16 integers that are factors of 3105. The greatest factor of 3105 is 3105.

3. What are the Factors of 3111?

Answer: Factors of 3111 are 1, 3, 17, 51, 61, 183, 1037, 3111. There are 8 integers that are factors of 3111. The greatest factor of 3111 is 3111.

4. How to Find the GCF of 3105 and 3111?

Answer:

Greatest Common Factor of 3105 and 3111 = 3

Step 1: Find the prime factorization of 3105

3105 = 3 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 3111

3111 = 3 x 17 x 61

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 3105 and 3111 is 3