Greatest Common Factor of 8883 and 8884

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, 8884 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8883 and 8884 is 1.

GCF(8883,8884) = 1

GCF of 8883 and 8884

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

GCF of:
and

Greatest Common Factor of 8883 and 8884

GCF of 8883 and 8884 is 1

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 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

∴ So by taking common prime factors GCF of 8883 and 8884 is 1

Greatest Common Factor of 8883 and 8884 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 8884

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

1,2,4,2221,4442,8884

Greatest Common Factor

We found the factors and prime factorization of 8883 and 8884. The biggest common factor number is the GCF number.
So the greatest common factor 8883 and 8884 is 1.

Also check out the Least Common Multiple of 8883 and 8884

Properties of GCF 8883 and 8884

(i) The GCF of 8883 and 8884 is associative

GCF of 8883 and 8884 = GCF of 8884 and 8883

Frequently Asked Questions on GCF of 8883 and 8884

1. What is the GCF of 8883 and 8884?

Answer: GCF of 8883 and 8884 is 1.

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 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.

4. How to Find the GCF of 8883 and 8884?

Answer:

Greatest Common Factor of 8883 and 8884 = 1

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 8884

8884 = 2 x 2 x 2221

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 8883 and 8884 is 1