Greatest Common Factor of 9888 and 9889

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 9888, 9889 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9888 and 9889 is 1.

GCF(9888,9889) = 1

GCF of 9888 and 9889

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

GCF of:
and

Greatest Common Factor of 9888 and 9889

GCF of 9888 and 9889 is 1

Prime Factorization of 9888


2 9888
2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 9888 are 2,3,103. Prime factorization of 9888 in exponential form is:

9888 = 25×31×1031

Prime Factorization of 9889


11 9889
29 899
31 31
1

Prime factors of 9889 are 11,29,31. Prime factorization of 9889 in exponential form is:

9889 = 111×291×311

∴ So by taking common prime factors GCF of 9888 and 9889 is 1

Greatest Common Factor of 9888 and 9889 by matching factors method

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Factors of 9889

List of positive integer factors of 9889 that divides 9889 without a remainder.

1,11,29,31,319,341,899,9889

Greatest Common Factor

We found the factors and prime factorization of 9888 and 9889. The biggest common factor number is the GCF number.
So the greatest common factor 9888 and 9889 is 1.

Also check out the Least Common Multiple of 9888 and 9889

Properties of GCF 9888 and 9889

(i) The GCF of 9888 and 9889 is associative

GCF of 9888 and 9889 = GCF of 9889 and 9888

Related Greatest Common Factor of 9888

Related Greatest Common Factor of 9889

Frequently Asked Questions on GCF of 9888 and 9889

1. What is the GCF of 9888 and 9889?

Answer: GCF of 9888 and 9889 is 1.

2. What are the Factors of 9888?

Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.

3. What are the Factors of 9889?

Answer: Factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889. There are 8 integers that are factors of 9889. The greatest factor of 9889 is 9889.

4. How to Find the GCF of 9888 and 9889?

Answer:

Greatest Common Factor of 9888 and 9889 = 1

Step 1: Find the prime factorization of 9888

9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 9889

9889 = 11 x 29 x 31

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 9888 and 9889 is 1