Greatest Common Factor of 2871 and 2874

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 2871, 2874 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2871 and 2874 is 3.

GCF(2871,2874) = 3

GCF of 2871 and 2874

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

GCF of:
and

Greatest Common Factor of 2871 and 2874

GCF of 2871 and 2874 is 3

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

Prime Factorization of 2874


2 2874
3 1437
479 479
1

Prime factors of 2874 are 2,3,479. Prime factorization of 2874 in exponential form is:

2874 = 21×31×4791

∴ So by taking common prime factors GCF of 2871 and 2874 is 3

Greatest Common Factor of 2871 and 2874 by matching factors method

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

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1,2,3,6,479,958,1437,2874

Greatest Common Factor

We found the factors and prime factorization of 2871 and 2874. The biggest common factor number is the GCF number.
So the greatest common factor 2871 and 2874 is 3.

Also check out the Least Common Multiple of 2871 and 2874

Properties of GCF 2871 and 2874

(i) The GCF of 2871 and 2874 is associative

GCF of 2871 and 2874 = GCF of 2874 and 2871

Related Greatest Common Factor of 2871

Related Greatest Common Factor of 2874

Frequently Asked Questions on GCF of 2871 and 2874

1. What is the GCF of 2871 and 2874?

Answer: GCF of 2871 and 2874 is 3.

2. 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.

3. What are the Factors of 2874?

Answer: Factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874. There are 8 integers that are factors of 2874. The greatest factor of 2874 is 2874.

4. How to Find the GCF of 2871 and 2874?

Answer:

Greatest Common Factor of 2871 and 2874 = 3

Step 1: Find the prime factorization of 2871

2871 = 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 2874

2874 = 2 x 3 x 479

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 2871 and 2874 is 3