Greatest Common Factor of 6871 and 6875

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 6871, 6875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6871 and 6875 is 1.

GCF(6871,6875) = 1

GCF of 6871 and 6875

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

GCF of:
and

Greatest Common Factor of 6871 and 6875

GCF of 6871 and 6875 is 1

Prime Factorization of 6871


6871 6871
1

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

Prime Factorization of 6875


5 6875
5 1375
5 275
5 55
11 11
1

Prime factors of 6875 are 5.Prime factorization of 6875 in exponential form is:

6875 = 54×111

∴ So by taking common prime factors GCF of 6871 and 6875 is 1

Greatest Common Factor of 6871 and 6875 by matching factors method

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1,6871

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1,5,11,25,55,125,275,625,1375,6875

Greatest Common Factor

We found the factors and prime factorization of 6871 and 6875. The biggest common factor number is the GCF number.
So the greatest common factor 6871 and 6875 is 1.

Also check out the Least Common Multiple of 6871 and 6875

Properties of GCF 6871 and 6875

(i) The GCF of 6871 and 6875 is associative

GCF of 6871 and 6875 = GCF of 6875 and 6871

Related Greatest Common Factor of 6871

Related Greatest Common Factor of 6875

Frequently Asked Questions on GCF of 6871 and 6875

1. What is the GCF of 6871 and 6875?

Answer: GCF of 6871 and 6875 is 1.

2. What are the Factors of 6871?

Answer: Factors of 6871 are 1, 6871. There are 2 integers that are factors of 6871. The greatest factor of 6871 is 6871.

3. What are the Factors of 6875?

Answer: Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. There are 10 integers that are factors of 6875. The greatest factor of 6875 is 6875.

4. How to Find the GCF of 6871 and 6875?

Answer:

Greatest Common Factor of 6871 and 6875 = 1

Step 1: Find the prime factorization of 6871

6871 = 6871

Step 2: Find the prime factorization of 6875

6875 = 5 x 5 x 5 x 5 x 11

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6871 and 6875 is 1