Greatest Common Factor of 2868 and 2871

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 2868, 2871 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2868 and 2871 is 3.

GCF(2868,2871) = 3

GCF of 2868 and 2871

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

GCF of:
and

Greatest Common Factor of 2868 and 2871

GCF of 2868 and 2871 is 3

Prime Factorization of 2868


2 2868
2 1434
3 717
239 239
1

Prime factors of 2868 are 2,3,239. Prime factorization of 2868 in exponential form is:

2868 = 22×31×2391

Prime Factorization of 2871


3 2871
3 957
11 319
29 29
1

Prime factors of 2871 are 3,11,29. Prime factorization of 2871 in exponential form is:

2871 = 32×111×291

∴ So by taking common prime factors GCF of 2868 and 2871 is 3

Greatest Common Factor of 2868 and 2871 by matching factors method

Factors of 2868

List of positive integer factors of 2868 that divides 2868 without a remainder.

1,2,3,4,6,12,239,478,717,956,1434,2868

Factors of 2871

List of positive integer factors of 2871 that divides 2871 without a remainder.

1,3,9,11,29,33,87,99,261,319,957,2871

Greatest Common Factor

We found the factors and prime factorization of 2868 and 2871. The biggest common factor number is the GCF number.
So the greatest common factor 2868 and 2871 is 3.

Also check out the Least Common Multiple of 2868 and 2871

Properties of GCF 2868 and 2871

(i) The GCF of 2868 and 2871 is associative

GCF of 2868 and 2871 = GCF of 2871 and 2868

Related Greatest Common Factor of 2868

Related Greatest Common Factor of 2871

Frequently Asked Questions on GCF of 2868 and 2871

1. What is the GCF of 2868 and 2871?

Answer: GCF of 2868 and 2871 is 3.

2. What are the Factors of 2868?

Answer: Factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868. There are 12 integers that are factors of 2868. The greatest factor of 2868 is 2868.

3. What are the Factors of 2871?

Answer: Factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871. There are 12 integers that are factors of 2871. The greatest factor of 2871 is 2871.

4. How to Find the GCF of 2868 and 2871?

Answer:

Greatest Common Factor of 2868 and 2871 = 3

Step 1: Find the prime factorization of 2868

2868 = 2 x 2 x 3 x 239

Step 2: Find the prime factorization of 2871

2871 = 3 x 3 x 11 x 29

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 2868 and 2871 is 3