Greatest Common Factor of 867 and 870

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 867, 870 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 867 and 870 is 3.

GCF(867,870) = 3

GCF of 867 and 870

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

GCF of:
and

Greatest Common Factor of 867 and 870

GCF of 867 and 870 is 3

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

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

∴ So by taking common prime factors GCF of 867 and 870 is 3

Greatest Common Factor of 867 and 870 by matching factors method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

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

Greatest Common Factor

We found the factors and prime factorization of 867 and 870. The biggest common factor number is the GCF number.
So the greatest common factor 867 and 870 is 3.

Also check out the Least Common Multiple of 867 and 870

Properties of GCF 867 and 870

(i) The GCF of 867 and 870 is associative

GCF of 867 and 870 = GCF of 870 and 867

Related Greatest Common Factor of 867

Related Greatest Common Factor of 870

Frequently Asked Questions on GCF of 867 and 870

1. What is the GCF of 867 and 870?

Answer: GCF of 867 and 870 is 3.

2. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

3. 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.

4. How to Find the GCF of 867 and 870?

Answer:

Greatest Common Factor of 867 and 870 = 3

Step 1: Find the prime factorization of 867

867 = 3 x 17 x 17

Step 2: Find the prime factorization of 870

870 = 2 x 3 x 5 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 867 and 870 is 3