Greatest Common Factor of 5865 and 5870

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 5865, 5870 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5865 and 5870 is 5.

GCF(5865,5870) = 5

GCF of 5865 and 5870

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

GCF of:
and

Greatest Common Factor of 5865 and 5870

GCF of 5865 and 5870 is 5

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

Prime Factorization of 5870


2 5870
5 2935
587 587
1

Prime factors of 5870 are 2,5,587. Prime factorization of 5870 in exponential form is:

5870 = 21×51×5871

∴ So by taking common prime factors GCF of 5865 and 5870 is 5

Greatest Common Factor of 5865 and 5870 by matching factors method

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

Factors of 5870

List of positive integer factors of 5870 that divides 5870 without a remainder.

1,2,5,10,587,1174,2935,5870

Greatest Common Factor

We found the factors and prime factorization of 5865 and 5870. The biggest common factor number is the GCF number.
So the greatest common factor 5865 and 5870 is 5.

Also check out the Least Common Multiple of 5865 and 5870

Properties of GCF 5865 and 5870

(i) The GCF of 5865 and 5870 is associative

GCF of 5865 and 5870 = GCF of 5870 and 5865

Related Greatest Common Factor of 5865

Related Greatest Common Factor of 5870

Frequently Asked Questions on GCF of 5865 and 5870

1. What is the GCF of 5865 and 5870?

Answer: GCF of 5865 and 5870 is 5.

2. 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.

3. What are the Factors of 5870?

Answer: Factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870. There are 8 integers that are factors of 5870. The greatest factor of 5870 is 5870.

4. How to Find the GCF of 5865 and 5870?

Answer:

Greatest Common Factor of 5865 and 5870 = 5

Step 1: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

Step 2: Find the prime factorization of 5870

5870 = 2 x 5 x 587

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 5865 and 5870 is 5