Greatest Common Factor of 5782 and 5790

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 5782, 5790 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5782 and 5790 is 2.

GCF(5782,5790) = 2

GCF of 5782 and 5790

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

GCF of:
and

Greatest Common Factor of 5782 and 5790

GCF of 5782 and 5790 is 2

Prime Factorization of 5782


2 5782
7 2891
7 413
59 59
1

Prime factors of 5782 are 2,7,59. Prime factorization of 5782 in exponential form is:

5782 = 21×72×591

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

∴ So by taking common prime factors GCF of 5782 and 5790 is 2

Greatest Common Factor of 5782 and 5790 by matching factors method

Factors of 5782

List of positive integer factors of 5782 that divides 5782 without a remainder.

1,2,7,14,49,59,98,118,413,826,2891,5782

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

Greatest Common Factor

We found the factors and prime factorization of 5782 and 5790. The biggest common factor number is the GCF number.
So the greatest common factor 5782 and 5790 is 2.

Also check out the Least Common Multiple of 5782 and 5790

Properties of GCF 5782 and 5790

(i) The GCF of 5782 and 5790 is associative

GCF of 5782 and 5790 = GCF of 5790 and 5782

Related Greatest Common Factor of 5782

Related Greatest Common Factor of 5790

Frequently Asked Questions on GCF of 5782 and 5790

1. What is the GCF of 5782 and 5790?

Answer: GCF of 5782 and 5790 is 2.

2. What are the Factors of 5782?

Answer: Factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782. There are 12 integers that are factors of 5782. The greatest factor of 5782 is 5782.

3. 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.

4. How to Find the GCF of 5782 and 5790?

Answer:

Greatest Common Factor of 5782 and 5790 = 2

Step 1: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

Step 2: Find the prime factorization of 5790

5790 = 2 x 3 x 5 x 193

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5782 and 5790 is 2