Greatest Common Factor of 9885 and 9888

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 9885, 9888 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9885 and 9888 is 3.

GCF(9885,9888) = 3

GCF of 9885 and 9888

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

GCF of:
and

Greatest Common Factor of 9885 and 9888

GCF of 9885 and 9888 is 3

Prime Factorization of 9885


3 9885
5 3295
659 659
1

Prime factors of 9885 are 3,5,659. Prime factorization of 9885 in exponential form is:

9885 = 31×51×6591

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

∴ So by taking common prime factors GCF of 9885 and 9888 is 3

Greatest Common Factor of 9885 and 9888 by matching factors method

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1,3,5,15,659,1977,3295,9885

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

Greatest Common Factor

We found the factors and prime factorization of 9885 and 9888. The biggest common factor number is the GCF number.
So the greatest common factor 9885 and 9888 is 3.

Also check out the Least Common Multiple of 9885 and 9888

Properties of GCF 9885 and 9888

(i) The GCF of 9885 and 9888 is associative

GCF of 9885 and 9888 = GCF of 9888 and 9885

Related Greatest Common Factor of 9885

Related Greatest Common Factor of 9888

Frequently Asked Questions on GCF of 9885 and 9888

1. What is the GCF of 9885 and 9888?

Answer: GCF of 9885 and 9888 is 3.

2. What are the Factors of 9885?

Answer: Factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885. There are 8 integers that are factors of 9885. The greatest factor of 9885 is 9885.

3. 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.

4. How to Find the GCF of 9885 and 9888?

Answer:

Greatest Common Factor of 9885 and 9888 = 3

Step 1: Find the prime factorization of 9885

9885 = 3 x 5 x 659

Step 2: Find the prime factorization of 9888

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

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 9885 and 9888 is 3