Greatest Common Factor of 2871 and 2873

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, 2873 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2871 and 2873 is 1.

GCF(2871,2873) = 1

GCF of 2871 and 2873

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

GCF of:
and

Greatest Common Factor of 2871 and 2873

GCF of 2871 and 2873 is 1

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 2873


13 2873
13 221
17 17
1

Prime factors of 2873 are 13,17. Prime factorization of 2873 in exponential form is:

2873 = 132×171

∴ So by taking common prime factors GCF of 2871 and 2873 is 1

Greatest Common Factor of 2871 and 2873 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 2873

List of positive integer factors of 2873 that divides 2873 without a remainder.

1,13,17,169,221,2873

Greatest Common Factor

We found the factors and prime factorization of 2871 and 2873. The biggest common factor number is the GCF number.
So the greatest common factor 2871 and 2873 is 1.

Also check out the Least Common Multiple of 2871 and 2873

Properties of GCF 2871 and 2873

(i) The GCF of 2871 and 2873 is associative

GCF of 2871 and 2873 = GCF of 2873 and 2871

Related Greatest Common Factor of 2871

Related Greatest Common Factor of 2873

Frequently Asked Questions on GCF of 2871 and 2873

1. What is the GCF of 2871 and 2873?

Answer: GCF of 2871 and 2873 is 1.

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 2873?

Answer: Factors of 2873 are 1, 13, 17, 169, 221, 2873. There are 6 integers that are factors of 2873. The greatest factor of 2873 is 2873.

4. How to Find the GCF of 2871 and 2873?

Answer:

Greatest Common Factor of 2871 and 2873 = 1

Step 1: Find the prime factorization of 2871

2871 = 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 2873

2873 = 13 x 13 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2871 and 2873 is 1