Greatest Common Factor of 870 and 875

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 870, 875 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 870 and 875 is 5.

GCF(870,875) = 5

GCF of 870 and 875

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

GCF of:
and

Greatest Common Factor of 870 and 875

GCF of 870 and 875 is 5

Prime Factorization of 870


2 870
3 435
5 145
29 29
1

Prime factors of 870 are 2,3,5,29. Prime factorization of 870 in exponential form is:

870 = 21×31×51×291

Prime Factorization of 875


5 875
5 175
5 35
7 7
1

Prime factors of 875 are 5,7. Prime factorization of 875 in exponential form is:

875 = 53×71

∴ So by taking common prime factors GCF of 870 and 875 is 5

Greatest Common Factor of 870 and 875 by matching factors method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors and prime factorization of 870 and 875. The biggest common factor number is the GCF number.
So the greatest common factor 870 and 875 is 5.

Also check out the Least Common Multiple of 870 and 875

Properties of GCF 870 and 875

(i) The GCF of 870 and 875 is associative

GCF of 870 and 875 = GCF of 875 and 870

Related Greatest Common Factor of 870

Related Greatest Common Factor of 875

Frequently Asked Questions on GCF of 870 and 875

1. What is the GCF of 870 and 875?

Answer: GCF of 870 and 875 is 5.

2. What are the Factors of 870?

Answer: Factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870. There are 16 integers that are factors of 870. The greatest factor of 870 is 870.

3. What are the Factors of 875?

Answer: Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. There are 8 integers that are factors of 875. The greatest factor of 875 is 875.

4. How to Find the GCF of 870 and 875?

Answer:

Greatest Common Factor of 870 and 875 = 5

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

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 870 and 875 is 5