Greatest Common Factor of 8872 and 8876

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 8872, 8876 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8872 and 8876 is 4.

GCF(8872,8876) = 4

GCF of 8872 and 8876

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

GCF of:
and

Greatest Common Factor of 8872 and 8876

GCF of 8872 and 8876 is 4

Prime Factorization of 8872


2 8872
2 4436
2 2218
1109 1109
1

Prime factors of 8872 are 2,1109. Prime factorization of 8872 in exponential form is:

8872 = 23×11091

Prime Factorization of 8876


2 8876
2 4438
7 2219
317 317
1

Prime factors of 8876 are 2,7,317. Prime factorization of 8876 in exponential form is:

8876 = 22×71×3171

∴ So by taking common prime factors GCF of 8872 and 8876 is 4

Greatest Common Factor of 8872 and 8876 by matching factors method

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1,2,4,8,1109,2218,4436,8872

Factors of 8876

List of positive integer factors of 8876 that divides 8876 without a remainder.

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Greatest Common Factor

We found the factors and prime factorization of 8872 and 8876. The biggest common factor number is the GCF number.
So the greatest common factor 8872 and 8876 is 4.

Also check out the Least Common Multiple of 8872 and 8876

Properties of GCF 8872 and 8876

(i) The GCF of 8872 and 8876 is associative

GCF of 8872 and 8876 = GCF of 8876 and 8872

Related Greatest Common Factor of 8872

Related Greatest Common Factor of 8876

Frequently Asked Questions on GCF of 8872 and 8876

1. What is the GCF of 8872 and 8876?

Answer: GCF of 8872 and 8876 is 4.

2. What are the Factors of 8872?

Answer: Factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872. There are 8 integers that are factors of 8872. The greatest factor of 8872 is 8872.

3. What are the Factors of 8876?

Answer: Factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876. There are 12 integers that are factors of 8876. The greatest factor of 8876 is 8876.

4. How to Find the GCF of 8872 and 8876?

Answer:

Greatest Common Factor of 8872 and 8876 = 4

Step 1: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

Step 2: Find the prime factorization of 8876

8876 = 2 x 2 x 7 x 317

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8872 and 8876 is 4