Greatest Common Factor of 8871 and 8877

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, 8877 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8871 and 8877 is 3.

GCF(8871,8877) = 3

GCF of 8871 and 8877

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

GCF of:
and

Greatest Common Factor of 8871 and 8877

GCF of 8871 and 8877 is 3

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 8877


3 8877
11 2959
269 269
1

Prime factors of 8877 are 3,11,269. Prime factorization of 8877 in exponential form is:

8877 = 31×111×2691

∴ So by taking common prime factors GCF of 8871 and 8877 is 3

Greatest Common Factor of 8871 and 8877 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 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1,3,11,33,269,807,2959,8877

Greatest Common Factor

We found the factors and prime factorization of 8871 and 8877. The biggest common factor number is the GCF number.
So the greatest common factor 8871 and 8877 is 3.

Also check out the Least Common Multiple of 8871 and 8877

Properties of GCF 8871 and 8877

(i) The GCF of 8871 and 8877 is associative

GCF of 8871 and 8877 = GCF of 8877 and 8871

Related Greatest Common Factor of 8871

Related Greatest Common Factor of 8877

Frequently Asked Questions on GCF of 8871 and 8877

1. What is the GCF of 8871 and 8877?

Answer: GCF of 8871 and 8877 is 3.

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 8877?

Answer: Factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877. There are 8 integers that are factors of 8877. The greatest factor of 8877 is 8877.

4. How to Find the GCF of 8871 and 8877?

Answer:

Greatest Common Factor of 8871 and 8877 = 3

Step 1: Find the prime factorization of 8871

8871 = 3 x 2957

Step 2: Find the prime factorization of 8877

8877 = 3 x 11 x 269

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 8871 and 8877 is 3