Greatest Common Factor of 5789 and 5797

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 5789, 5797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5789 and 5797 is 1.

GCF(5789,5797) = 1

GCF of 5789 and 5797

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

GCF of:
and

Greatest Common Factor of 5789 and 5797

GCF of 5789 and 5797 is 1

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

Prime Factorization of 5797


11 5797
17 527
31 31
1

Prime factors of 5797 are 11,17,31. Prime factorization of 5797 in exponential form is:

5797 = 111×171×311

∴ So by taking common prime factors GCF of 5789 and 5797 is 1

Greatest Common Factor of 5789 and 5797 by matching factors method

Factors of 5789

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

1,7,827,5789

Factors of 5797

List of positive integer factors of 5797 that divides 5797 without a remainder.

1,11,17,31,187,341,527,5797

Greatest Common Factor

We found the factors and prime factorization of 5789 and 5797. The biggest common factor number is the GCF number.
So the greatest common factor 5789 and 5797 is 1.

Also check out the Least Common Multiple of 5789 and 5797

Properties of GCF 5789 and 5797

(i) The GCF of 5789 and 5797 is associative

GCF of 5789 and 5797 = GCF of 5797 and 5789

Related Greatest Common Factor of 5789

Related Greatest Common Factor of 5797

Frequently Asked Questions on GCF of 5789 and 5797

1. What is the GCF of 5789 and 5797?

Answer: GCF of 5789 and 5797 is 1.

2. 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.

3. What are the Factors of 5797?

Answer: Factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797. There are 8 integers that are factors of 5797. The greatest factor of 5797 is 5797.

4. How to Find the GCF of 5789 and 5797?

Answer:

Greatest Common Factor of 5789 and 5797 = 1

Step 1: Find the prime factorization of 5789

5789 = 7 x 827

Step 2: Find the prime factorization of 5797

5797 = 11 x 17 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5789 and 5797 is 1