Greatest Common Factor of 870 and 876

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, 876 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 870 and 876 is 6.

GCF(870,876) = 6

GCF of 870 and 876

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

GCF of:
and

Greatest Common Factor of 870 and 876

GCF of 870 and 876 is 6

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 876


2 876
2 438
3 219
73 73
1

Prime factors of 876 are 2,3,73. Prime factorization of 876 in exponential form is:

876 = 22×31×731

∴ So by taking common prime factors GCF of 870 and 876 is 6

Greatest Common Factor of 870 and 876 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 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors and prime factorization of 870 and 876. The biggest common factor number is the GCF number.
So the greatest common factor 870 and 876 is 6.

Also check out the Least Common Multiple of 870 and 876

Properties of GCF 870 and 876

(i) The GCF of 870 and 876 is associative

GCF of 870 and 876 = GCF of 876 and 870

Related Greatest Common Factor of 870

Related Greatest Common Factor of 876

Frequently Asked Questions on GCF of 870 and 876

1. What is the GCF of 870 and 876?

Answer: GCF of 870 and 876 is 6.

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 876?

Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.

4. How to Find the GCF of 870 and 876?

Answer:

Greatest Common Factor of 870 and 876 = 6

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 870 and 876 is 6