Greatest Common Factor of 5790 and 5795

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 5790, 5795 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5790 and 5795 is 5.

GCF(5790,5795) = 5

GCF of 5790 and 5795

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

GCF of:
and

Greatest Common Factor of 5790 and 5795

GCF of 5790 and 5795 is 5

Prime Factorization of 5790


2 5790
3 2895
5 965
193 193
1

Prime factors of 5790 are 2,3,5,193. Prime factorization of 5790 in exponential form is:

5790 = 21×31×51×1931

Prime Factorization of 5795


5 5795
19 1159
61 61
1

Prime factors of 5795 are 5,19,61. Prime factorization of 5795 in exponential form is:

5795 = 51×191×611

∴ So by taking common prime factors GCF of 5790 and 5795 is 5

Greatest Common Factor of 5790 and 5795 by matching factors method

Factors of 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790

Factors of 5795

List of positive integer factors of 5795 that divides 5795 without a remainder.

1,5,19,61,95,305,1159,5795

Greatest Common Factor

We found the factors and prime factorization of 5790 and 5795. The biggest common factor number is the GCF number.
So the greatest common factor 5790 and 5795 is 5.

Also check out the Least Common Multiple of 5790 and 5795

Properties of GCF 5790 and 5795

(i) The GCF of 5790 and 5795 is associative

GCF of 5790 and 5795 = GCF of 5795 and 5790

Related Greatest Common Factor of 5790

Related Greatest Common Factor of 5795

Frequently Asked Questions on GCF of 5790 and 5795

1. What is the GCF of 5790 and 5795?

Answer: GCF of 5790 and 5795 is 5.

2. What are the Factors of 5790?

Answer: Factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. There are 16 integers that are factors of 5790. The greatest factor of 5790 is 5790.

3. What are the Factors of 5795?

Answer: Factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795. There are 8 integers that are factors of 5795. The greatest factor of 5795 is 5795.

4. How to Find the GCF of 5790 and 5795?

Answer:

Greatest Common Factor of 5790 and 5795 = 5

Step 1: Find the prime factorization of 5790

5790 = 2 x 3 x 5 x 193

Step 2: Find the prime factorization of 5795

5795 = 5 x 19 x 61

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 5790 and 5795 is 5