Greatest Common Factor of 2790 and 2795

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 2790, 2795 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2790 and 2795 is 5.

GCF(2790,2795) = 5

GCF of 2790 and 2795

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

GCF of:
and

Greatest Common Factor of 2790 and 2795

GCF of 2790 and 2795 is 5

Prime Factorization of 2790


2 2790
3 1395
3 465
5 155
31 31
1

Prime factors of 2790 are 2,3,5,31. Prime factorization of 2790 in exponential form is:

2790 = 21×32×51×311

Prime Factorization of 2795


5 2795
13 559
43 43
1

Prime factors of 2795 are 5,13,43. Prime factorization of 2795 in exponential form is:

2795 = 51×131×431

∴ So by taking common prime factors GCF of 2790 and 2795 is 5

Greatest Common Factor of 2790 and 2795 by matching factors method

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Factors of 2795

List of positive integer factors of 2795 that divides 2795 without a remainder.

1,5,13,43,65,215,559,2795

Greatest Common Factor

We found the factors and prime factorization of 2790 and 2795. The biggest common factor number is the GCF number.
So the greatest common factor 2790 and 2795 is 5.

Also check out the Least Common Multiple of 2790 and 2795

Properties of GCF 2790 and 2795

(i) The GCF of 2790 and 2795 is associative

GCF of 2790 and 2795 = GCF of 2795 and 2790

Related Greatest Common Factor of 2790

Related Greatest Common Factor of 2795

Frequently Asked Questions on GCF of 2790 and 2795

1. What is the GCF of 2790 and 2795?

Answer: GCF of 2790 and 2795 is 5.

2. What are the Factors of 2790?

Answer: Factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790. There are 24 integers that are factors of 2790. The greatest factor of 2790 is 2790.

3. What are the Factors of 2795?

Answer: Factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795. There are 8 integers that are factors of 2795. The greatest factor of 2795 is 2795.

4. How to Find the GCF of 2790 and 2795?

Answer:

Greatest Common Factor of 2790 and 2795 = 5

Step 1: Find the prime factorization of 2790

2790 = 2 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 2795

2795 = 5 x 13 x 43

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 2790 and 2795 is 5