Greatest Common Factor of 5865 and 5868

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, 5868 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5865 and 5868 is 3.

GCF(5865,5868) = 3

GCF of 5865 and 5868

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

GCF of:
and

Greatest Common Factor of 5865 and 5868

GCF of 5865 and 5868 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 5868


2 5868
2 2934
3 1467
3 489
163 163
1

Prime factors of 5868 are 2,3,163. Prime factorization of 5868 in exponential form is:

5868 = 22×32×1631

∴ So by taking common prime factors GCF of 5865 and 5868 is 3

Greatest Common Factor of 5865 and 5868 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 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Greatest Common Factor

We found the factors and prime factorization of 5865 and 5868. The biggest common factor number is the GCF number.
So the greatest common factor 5865 and 5868 is 3.

Also check out the Least Common Multiple of 5865 and 5868

Properties of GCF 5865 and 5868

(i) The GCF of 5865 and 5868 is associative

GCF of 5865 and 5868 = GCF of 5868 and 5865

Related Greatest Common Factor of 5865

Related Greatest Common Factor of 5868

Frequently Asked Questions on GCF of 5865 and 5868

1. What is the GCF of 5865 and 5868?

Answer: GCF of 5865 and 5868 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 5868?

Answer: Factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868. There are 18 integers that are factors of 5868. The greatest factor of 5868 is 5868.

4. How to Find the GCF of 5865 and 5868?

Answer:

Greatest Common Factor of 5865 and 5868 = 3

Step 1: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

Step 2: Find the prime factorization of 5868

5868 = 2 x 2 x 3 x 3 x 163

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 5868 is 3