Greatest Common Factor of 9888 and 9891

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, 9891 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9888 and 9891 is 3.

GCF(9888,9891) = 3

GCF of 9888 and 9891

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

GCF of:
and

Greatest Common Factor of 9888 and 9891

GCF of 9888 and 9891 is 3

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 9891


3 9891
3 3297
7 1099
157 157
1

Prime factors of 9891 are 3,7,157. Prime factorization of 9891 in exponential form is:

9891 = 32×71×1571

∴ So by taking common prime factors GCF of 9888 and 9891 is 3

Greatest Common Factor of 9888 and 9891 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 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1,3,7,9,21,63,157,471,1099,1413,3297,9891

Greatest Common Factor

We found the factors and prime factorization of 9888 and 9891. The biggest common factor number is the GCF number.
So the greatest common factor 9888 and 9891 is 3.

Also check out the Least Common Multiple of 9888 and 9891

Properties of GCF 9888 and 9891

(i) The GCF of 9888 and 9891 is associative

GCF of 9888 and 9891 = GCF of 9891 and 9888

Related Greatest Common Factor of 9888

Related Greatest Common Factor of 9891

Frequently Asked Questions on GCF of 9888 and 9891

1. What is the GCF of 9888 and 9891?

Answer: GCF of 9888 and 9891 is 3.

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 9891?

Answer: Factors of 9891 are 1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891. There are 12 integers that are factors of 9891. The greatest factor of 9891 is 9891.

4. How to Find the GCF of 9888 and 9891?

Answer:

Greatest Common Factor of 9888 and 9891 = 3

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 9891

9891 = 3 x 3 x 7 x 157

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 9888 and 9891 is 3