Greatest Common Factor of 5782 and 5788

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, 5788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5782 and 5788 is 2.

GCF(5782,5788) = 2

GCF of 5782 and 5788

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

GCF of:
and

Greatest Common Factor of 5782 and 5788

GCF of 5782 and 5788 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 5788


2 5788
2 2894
1447 1447
1

Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:

5788 = 22×14471

∴ So by taking common prime factors GCF of 5782 and 5788 is 2

Greatest Common Factor of 5782 and 5788 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 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Greatest Common Factor

We found the factors and prime factorization of 5782 and 5788. The biggest common factor number is the GCF number.
So the greatest common factor 5782 and 5788 is 2.

Also check out the Least Common Multiple of 5782 and 5788

Properties of GCF 5782 and 5788

(i) The GCF of 5782 and 5788 is associative

GCF of 5782 and 5788 = GCF of 5788 and 5782

Related Greatest Common Factor of 5782

Related Greatest Common Factor of 5788

Frequently Asked Questions on GCF of 5782 and 5788

1. What is the GCF of 5782 and 5788?

Answer: GCF of 5782 and 5788 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 5788?

Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.

4. How to Find the GCF of 5782 and 5788?

Answer:

Greatest Common Factor of 5782 and 5788 = 2

Step 1: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

Step 2: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

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 5788 is 2