Greatest Common Factor of 8883 and 8889

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 8883, 8889 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8883 and 8889 is 3.

GCF(8883,8889) = 3

GCF of 8883 and 8889

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

GCF of:
and

Greatest Common Factor of 8883 and 8889

GCF of 8883 and 8889 is 3

Prime Factorization of 8883


3 8883
3 2961
3 987
7 329
47 47
1

Prime factors of 8883 are 3,7,47. Prime factorization of 8883 in exponential form is:

8883 = 33×71×471

Prime Factorization of 8889


3 8889
2963 2963
1

Prime factors of 8889 are 3,2963. Prime factorization of 8889 in exponential form is:

8889 = 31×29631

∴ So by taking common prime factors GCF of 8883 and 8889 is 3

Greatest Common Factor of 8883 and 8889 by matching factors method

Factors of 8883

List of positive integer factors of 8883 that divides 8883 without a remainder.

1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883

Factors of 8889

List of positive integer factors of 8889 that divides 8889 without a remainder.

1,3,2963,8889

Greatest Common Factor

We found the factors and prime factorization of 8883 and 8889. The biggest common factor number is the GCF number.
So the greatest common factor 8883 and 8889 is 3.

Also check out the Least Common Multiple of 8883 and 8889

Properties of GCF 8883 and 8889

(i) The GCF of 8883 and 8889 is associative

GCF of 8883 and 8889 = GCF of 8889 and 8883

Related Greatest Common Factor of 8883

Related Greatest Common Factor of 8889

Frequently Asked Questions on GCF of 8883 and 8889

1. What is the GCF of 8883 and 8889?

Answer: GCF of 8883 and 8889 is 3.

2. What are the Factors of 8883?

Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.

3. What are the Factors of 8889?

Answer: Factors of 8889 are 1, 3, 2963, 8889. There are 4 integers that are factors of 8889. The greatest factor of 8889 is 8889.

4. How to Find the GCF of 8883 and 8889?

Answer:

Greatest Common Factor of 8883 and 8889 = 3

Step 1: Find the prime factorization of 8883

8883 = 3 x 3 x 3 x 7 x 47

Step 2: Find the prime factorization of 8889

8889 = 3 x 2963

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 8883 and 8889 is 3