Greatest Common Factor of 868 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 868, 875 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 868 and 875 is 7.

GCF(868,875) = 7

GCF of 868 and 875

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

GCF of:
and

Greatest Common Factor of 868 and 875

GCF of 868 and 875 is 7

Prime Factorization of 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2,7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

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 868 and 875 is 7

Greatest Common Factor of 868 and 875 by matching factors method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

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 868 and 875. The biggest common factor number is the GCF number.
So the greatest common factor 868 and 875 is 7.

Also check out the Least Common Multiple of 868 and 875

Properties of GCF 868 and 875

(i) The GCF of 868 and 875 is associative

GCF of 868 and 875 = GCF of 875 and 868

Related Greatest Common Factor of 868

Related Greatest Common Factor of 875

Frequently Asked Questions on GCF of 868 and 875

1. What is the GCF of 868 and 875?

Answer: GCF of 868 and 875 is 7.

2. What are the Factors of 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

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 868 and 875?

Answer:

Greatest Common Factor of 868 and 875 = 7

Step 1: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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 = 7

Step 4: Therefore, the greatest common factor of 868 and 875 is 7