Greatest Common Factor of 2870 and 2875

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 2870, 2875 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2870 and 2875 is 5.

GCF(2870,2875) = 5

GCF of 2870 and 2875

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

GCF of:
and

Greatest Common Factor of 2870 and 2875

GCF of 2870 and 2875 is 5

Prime Factorization of 2870


2 2870
5 1435
7 287
41 41
1

Prime factors of 2870 are 2,5,7,41. Prime factorization of 2870 in exponential form is:

2870 = 21×51×71×411

Prime Factorization of 2875


5 2875
5 575
5 115
23 23
1

Prime factors of 2875 are 5,23. Prime factorization of 2875 in exponential form is:

2875 = 53×231

∴ So by taking common prime factors GCF of 2870 and 2875 is 5

Greatest Common Factor of 2870 and 2875 by matching factors method

Factors of 2870

List of positive integer factors of 2870 that divides 2870 without a remainder.

1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870

Factors of 2875

List of positive integer factors of 2875 that divides 2875 without a remainder.

1,5,23,25,115,125,575,2875

Greatest Common Factor

We found the factors and prime factorization of 2870 and 2875. The biggest common factor number is the GCF number.
So the greatest common factor 2870 and 2875 is 5.

Also check out the Least Common Multiple of 2870 and 2875

Properties of GCF 2870 and 2875

(i) The GCF of 2870 and 2875 is associative

GCF of 2870 and 2875 = GCF of 2875 and 2870

Related Greatest Common Factor of 2870

Related Greatest Common Factor of 2875

Frequently Asked Questions on GCF of 2870 and 2875

1. What is the GCF of 2870 and 2875?

Answer: GCF of 2870 and 2875 is 5.

2. What are the Factors of 2870?

Answer: Factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870. There are 16 integers that are factors of 2870. The greatest factor of 2870 is 2870.

3. What are the Factors of 2875?

Answer: Factors of 2875 are 1, 5, 23, 25, 115, 125, 575, 2875. There are 8 integers that are factors of 2875. The greatest factor of 2875 is 2875.

4. How to Find the GCF of 2870 and 2875?

Answer:

Greatest Common Factor of 2870 and 2875 = 5

Step 1: Find the prime factorization of 2870

2870 = 2 x 5 x 7 x 41

Step 2: Find the prime factorization of 2875

2875 = 5 x 5 x 5 x 23

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2870 and 2875 is 5