Greatest Common Factor of 5860 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 5860, 5865 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5860 and 5865 is 5.

GCF(5860,5865) = 5

GCF of 5860 and 5865

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

GCF of:
and

Greatest Common Factor of 5860 and 5865

GCF of 5860 and 5865 is 5

Prime Factorization of 5860


2 5860
2 2930
5 1465
293 293
1

Prime factors of 5860 are 2,5,293. Prime factorization of 5860 in exponential form is:

5860 = 22×51×2931

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 5860 and 5865 is 5

Greatest Common Factor of 5860 and 5865 by matching factors method

Factors of 5860

List of positive integer factors of 5860 that divides 5860 without a remainder.

1,2,4,5,10,20,293,586,1172,1465,2930,5860

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 5860 and 5865. The biggest common factor number is the GCF number.
So the greatest common factor 5860 and 5865 is 5.

Also check out the Least Common Multiple of 5860 and 5865

Properties of GCF 5860 and 5865

(i) The GCF of 5860 and 5865 is associative

GCF of 5860 and 5865 = GCF of 5865 and 5860

Related Greatest Common Factor of 5860

Related Greatest Common Factor of 5865

Frequently Asked Questions on GCF of 5860 and 5865

1. What is the GCF of 5860 and 5865?

Answer: GCF of 5860 and 5865 is 5.

2. What are the Factors of 5860?

Answer: Factors of 5860 are 1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860. There are 12 integers that are factors of 5860. The greatest factor of 5860 is 5860.

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 5860 and 5865?

Answer:

Greatest Common Factor of 5860 and 5865 = 5

Step 1: Find the prime factorization of 5860

5860 = 2 x 2 x 5 x 293

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 = 5

Step 4: Therefore, the greatest common factor of 5860 and 5865 is 5