Greatest Common Factor of 8871 and 8875

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 8871, 8875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8871 and 8875 is 1.

GCF(8871,8875) = 1

GCF of 8871 and 8875

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

GCF of:
and

Greatest Common Factor of 8871 and 8875

GCF of 8871 and 8875 is 1

Prime Factorization of 8871


3 8871
2957 2957
1

Prime factors of 8871 are 3,2957. Prime factorization of 8871 in exponential form is:

8871 = 31×29571

Prime Factorization of 8875


5 8875
5 1775
5 355
71 71
1

Prime factors of 8875 are 5,71. Prime factorization of 8875 in exponential form is:

8875 = 53×711

∴ So by taking common prime factors GCF of 8871 and 8875 is 1

Greatest Common Factor of 8871 and 8875 by matching factors method

Factors of 8871

List of positive integer factors of 8871 that divides 8871 without a remainder.

1,3,2957,8871

Factors of 8875

List of positive integer factors of 8875 that divides 8875 without a remainder.

1,5,25,71,125,355,1775,8875

Greatest Common Factor

We found the factors and prime factorization of 8871 and 8875. The biggest common factor number is the GCF number.
So the greatest common factor 8871 and 8875 is 1.

Also check out the Least Common Multiple of 8871 and 8875

Properties of GCF 8871 and 8875

(i) The GCF of 8871 and 8875 is associative

GCF of 8871 and 8875 = GCF of 8875 and 8871

Related Greatest Common Factor of 8871

Related Greatest Common Factor of 8875

Frequently Asked Questions on GCF of 8871 and 8875

1. What is the GCF of 8871 and 8875?

Answer: GCF of 8871 and 8875 is 1.

2. What are the Factors of 8871?

Answer: Factors of 8871 are 1, 3, 2957, 8871. There are 4 integers that are factors of 8871. The greatest factor of 8871 is 8871.

3. What are the Factors of 8875?

Answer: Factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875. There are 8 integers that are factors of 8875. The greatest factor of 8875 is 8875.

4. How to Find the GCF of 8871 and 8875?

Answer:

Greatest Common Factor of 8871 and 8875 = 1

Step 1: Find the prime factorization of 8871

8871 = 3 x 2957

Step 2: Find the prime factorization of 8875

8875 = 5 x 5 x 5 x 71

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 8871 and 8875 is 1