Greatest Common Factor of 3100 and 3105

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 3100, 3105 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3100 and 3105 is 5.

GCF(3100,3105) = 5

GCF of 3100 and 3105

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

GCF of:
and

Greatest Common Factor of 3100 and 3105

GCF of 3100 and 3105 is 5

Prime Factorization of 3100


2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 3100 are 2,5,31. Prime factorization of 3100 in exponential form is:

3100 = 22×52×311

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

∴ So by taking common prime factors GCF of 3100 and 3105 is 5

Greatest Common Factor of 3100 and 3105 by matching factors method

Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

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

Greatest Common Factor

We found the factors and prime factorization of 3100 and 3105. The biggest common factor number is the GCF number.
So the greatest common factor 3100 and 3105 is 5.

Also check out the Least Common Multiple of 3100 and 3105

Properties of GCF 3100 and 3105

(i) The GCF of 3100 and 3105 is associative

GCF of 3100 and 3105 = GCF of 3105 and 3100

Related Greatest Common Factor of 3100

Related Greatest Common Factor of 3105

Frequently Asked Questions on GCF of 3100 and 3105

1. What is the GCF of 3100 and 3105?

Answer: GCF of 3100 and 3105 is 5.

2. What are the Factors of 3100?

Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.

3. 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.

4. How to Find the GCF of 3100 and 3105?

Answer:

Greatest Common Factor of 3100 and 3105 = 5

Step 1: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 3105

3105 = 3 x 3 x 3 x 5 x 23

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 3100 and 3105 is 5