Greatest Common Factor of 5859 and 5865

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 5859, 5865 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5859 and 5865 is 3.

GCF(5859,5865) = 3

GCF of 5859 and 5865

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

GCF of:
and

Greatest Common Factor of 5859 and 5865

GCF of 5859 and 5865 is 3

Prime Factorization of 5859


3 5859
3 1953
3 651
7 217
31 31
1

Prime factors of 5859 are 3,7,31. Prime factorization of 5859 in exponential form is:

5859 = 33×71×311

Prime Factorization of 5865


3 5865
5 1955
17 391
23 23
1

Prime factors of 5865 are 3,5,17,23. Prime factorization of 5865 in exponential form is:

5865 = 31×51×171×231

∴ So by taking common prime factors GCF of 5859 and 5865 is 3

Greatest Common Factor of 5859 and 5865 by matching factors method

Factors of 5859

List of positive integer factors of 5859 that divides 5859 without a remainder.

1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859

Factors of 5865

List of positive integer factors of 5865 that divides 5865 without a remainder.

1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865

Greatest Common Factor

We found the factors and prime factorization of 5859 and 5865. The biggest common factor number is the GCF number.
So the greatest common factor 5859 and 5865 is 3.

Also check out the Least Common Multiple of 5859 and 5865

Properties of GCF 5859 and 5865

(i) The GCF of 5859 and 5865 is associative

GCF of 5859 and 5865 = GCF of 5865 and 5859

Related Greatest Common Factor of 5859

Related Greatest Common Factor of 5865

Frequently Asked Questions on GCF of 5859 and 5865

1. What is the GCF of 5859 and 5865?

Answer: GCF of 5859 and 5865 is 3.

2. What are the Factors of 5859?

Answer: Factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859. There are 16 integers that are factors of 5859. The greatest factor of 5859 is 5859.

3. What are the Factors of 5865?

Answer: Factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865. There are 16 integers that are factors of 5865. The greatest factor of 5865 is 5865.

4. How to Find the GCF of 5859 and 5865?

Answer:

Greatest Common Factor of 5859 and 5865 = 3

Step 1: Find the prime factorization of 5859

5859 = 3 x 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5859 and 5865 is 3