Greatest Common Factor of 3105 and 3113

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, 3113 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3105 and 3113 is 1.

GCF(3105,3113) = 1

GCF of 3105 and 3113

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

GCF of:
and

Greatest Common Factor of 3105 and 3113

GCF of 3105 and 3113 is 1

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 3113


11 3113
283 283
1

Prime factors of 3113 are 11,283. Prime factorization of 3113 in exponential form is:

3113 = 111×2831

∴ So by taking common prime factors GCF of 3105 and 3113 is 1

Greatest Common Factor of 3105 and 3113 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 3113

List of positive integer factors of 3113 that divides 3113 without a remainder.

1,11,283,3113

Greatest Common Factor

We found the factors and prime factorization of 3105 and 3113. The biggest common factor number is the GCF number.
So the greatest common factor 3105 and 3113 is 1.

Also check out the Least Common Multiple of 3105 and 3113

Properties of GCF 3105 and 3113

(i) The GCF of 3105 and 3113 is associative

GCF of 3105 and 3113 = GCF of 3113 and 3105

Related Greatest Common Factor of 3105

Related Greatest Common Factor of 3113

Frequently Asked Questions on GCF of 3105 and 3113

1. What is the GCF of 3105 and 3113?

Answer: GCF of 3105 and 3113 is 1.

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 3113?

Answer: Factors of 3113 are 1, 11, 283, 3113. There are 4 integers that are factors of 3113. The greatest factor of 3113 is 3113.

4. How to Find the GCF of 3105 and 3113?

Answer:

Greatest Common Factor of 3105 and 3113 = 1

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 3113

3113 = 11 x 283

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 3105 and 3113 is 1