Greatest Common Factor of 5780 and 5782

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 5780, 5782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5780 and 5782 is 2.

GCF(5780,5782) = 2

GCF of 5780 and 5782

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

GCF of:
and

Greatest Common Factor of 5780 and 5782

GCF of 5780 and 5782 is 2

Prime Factorization of 5780


2 5780
2 2890
5 1445
17 289
17 17
1

Prime factors of 5780 are 2,5,17. Prime factorization of 5780 in exponential form is:

5780 = 22×51×172

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

∴ So by taking common prime factors GCF of 5780 and 5782 is 2

Greatest Common Factor of 5780 and 5782 by matching factors method

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

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

Greatest Common Factor

We found the factors and prime factorization of 5780 and 5782. The biggest common factor number is the GCF number.
So the greatest common factor 5780 and 5782 is 2.

Also check out the Least Common Multiple of 5780 and 5782

Properties of GCF 5780 and 5782

(i) The GCF of 5780 and 5782 is associative

GCF of 5780 and 5782 = GCF of 5782 and 5780

Related Greatest Common Factor of 5780

Related Greatest Common Factor of 5782

Frequently Asked Questions on GCF of 5780 and 5782

1. What is the GCF of 5780 and 5782?

Answer: GCF of 5780 and 5782 is 2.

2. What are the Factors of 5780?

Answer: Factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780. There are 18 integers that are factors of 5780. The greatest factor of 5780 is 5780.

3. 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.

4. How to Find the GCF of 5780 and 5782?

Answer:

Greatest Common Factor of 5780 and 5782 = 2

Step 1: Find the prime factorization of 5780

5780 = 2 x 2 x 5 x 17 x 17

Step 2: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

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 5780 and 5782 is 2