Greatest Common Factor of 5865 and 5871

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, 5871 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5865 and 5871 is 3.

GCF(5865,5871) = 3

GCF of 5865 and 5871

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

GCF of:
and

Greatest Common Factor of 5865 and 5871

GCF of 5865 and 5871 is 3

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 5871


3 5871
19 1957
103 103
1

Prime factors of 5871 are 3,19,103. Prime factorization of 5871 in exponential form is:

5871 = 31×191×1031

∴ So by taking common prime factors GCF of 5865 and 5871 is 3

Greatest Common Factor of 5865 and 5871 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 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1,3,19,57,103,309,1957,5871

Greatest Common Factor

We found the factors and prime factorization of 5865 and 5871. The biggest common factor number is the GCF number.
So the greatest common factor 5865 and 5871 is 3.

Also check out the Least Common Multiple of 5865 and 5871

Properties of GCF 5865 and 5871

(i) The GCF of 5865 and 5871 is associative

GCF of 5865 and 5871 = GCF of 5871 and 5865

Related Greatest Common Factor of 5865

Related Greatest Common Factor of 5871

Frequently Asked Questions on GCF of 5865 and 5871

1. What is the GCF of 5865 and 5871?

Answer: GCF of 5865 and 5871 is 3.

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 5871?

Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.

4. How to Find the GCF of 5865 and 5871?

Answer:

Greatest Common Factor of 5865 and 5871 = 3

Step 1: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

Step 2: Find the prime factorization of 5871

5871 = 3 x 19 x 103

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 5865 and 5871 is 3