Greatest Common Factor of 5782 and 5789

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, 5789 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5782 and 5789 is 7.

GCF(5782,5789) = 7

GCF of 5782 and 5789

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

GCF of:
and

Greatest Common Factor of 5782 and 5789

GCF of 5782 and 5789 is 7

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 5789


7 5789
827 827
1

Prime factors of 5789 are 7,827. Prime factorization of 5789 in exponential form is:

5789 = 71×8271

∴ So by taking common prime factors GCF of 5782 and 5789 is 7

Greatest Common Factor of 5782 and 5789 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 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1,7,827,5789

Greatest Common Factor

We found the factors and prime factorization of 5782 and 5789. The biggest common factor number is the GCF number.
So the greatest common factor 5782 and 5789 is 7.

Also check out the Least Common Multiple of 5782 and 5789

Properties of GCF 5782 and 5789

(i) The GCF of 5782 and 5789 is associative

GCF of 5782 and 5789 = GCF of 5789 and 5782

Related Greatest Common Factor of 5782

Related Greatest Common Factor of 5789

Frequently Asked Questions on GCF of 5782 and 5789

1. What is the GCF of 5782 and 5789?

Answer: GCF of 5782 and 5789 is 7.

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 5789?

Answer: Factors of 5789 are 1, 7, 827, 5789. There are 4 integers that are factors of 5789. The greatest factor of 5789 is 5789.

4. How to Find the GCF of 5782 and 5789?

Answer:

Greatest Common Factor of 5782 and 5789 = 7

Step 1: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

Step 2: Find the prime factorization of 5789

5789 = 7 x 827

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5782 and 5789 is 7