Greatest Common Factor of 8884 and 8888

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 8884, 8888 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8884 and 8888 is 4.

GCF(8884,8888) = 4

GCF of 8884 and 8888

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

GCF of:
and

Greatest Common Factor of 8884 and 8888

GCF of 8884 and 8888 is 4

Prime Factorization of 8884


2 8884
2 4442
2221 2221
1

Prime factors of 8884 are 2,2221. Prime factorization of 8884 in exponential form is:

8884 = 22×22211

Prime Factorization of 8888


2 8888
2 4444
2 2222
11 1111
101 101
1

Prime factors of 8888 are 2,11,101. Prime factorization of 8888 in exponential form is:

8888 = 23×111×1011

∴ So by taking common prime factors GCF of 8884 and 8888 is 4

Greatest Common Factor of 8884 and 8888 by matching factors method

Factors of 8884

List of positive integer factors of 8884 that divides 8884 without a remainder.

1,2,4,2221,4442,8884

Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Greatest Common Factor

We found the factors and prime factorization of 8884 and 8888. The biggest common factor number is the GCF number.
So the greatest common factor 8884 and 8888 is 4.

Also check out the Least Common Multiple of 8884 and 8888

Properties of GCF 8884 and 8888

(i) The GCF of 8884 and 8888 is associative

GCF of 8884 and 8888 = GCF of 8888 and 8884

Related Greatest Common Factor of 8884

Related Greatest Common Factor of 8888

Frequently Asked Questions on GCF of 8884 and 8888

1. What is the GCF of 8884 and 8888?

Answer: GCF of 8884 and 8888 is 4.

2. What are the Factors of 8884?

Answer: Factors of 8884 are 1, 2, 4, 2221, 4442, 8884. There are 6 integers that are factors of 8884. The greatest factor of 8884 is 8884.

3. What are the Factors of 8888?

Answer: Factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888. There are 16 integers that are factors of 8888. The greatest factor of 8888 is 8888.

4. How to Find the GCF of 8884 and 8888?

Answer:

Greatest Common Factor of 8884 and 8888 = 4

Step 1: Find the prime factorization of 8884

8884 = 2 x 2 x 2221

Step 2: Find the prime factorization of 8888

8888 = 2 x 2 x 2 x 11 x 101

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 8884 and 8888 is 4