Greatest Common Factor of 9888 and 9894

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, 9894 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9888 and 9894 is 6.

GCF(9888,9894) = 6

GCF of 9888 and 9894

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

GCF of:
and

Greatest Common Factor of 9888 and 9894

GCF of 9888 and 9894 is 6

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 9894


2 9894
3 4947
17 1649
97 97
1

Prime factors of 9894 are 2,3,17,97. Prime factorization of 9894 in exponential form is:

9894 = 21×31×171×971

∴ So by taking common prime factors GCF of 9888 and 9894 is 6

Greatest Common Factor of 9888 and 9894 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 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Greatest Common Factor

We found the factors and prime factorization of 9888 and 9894. The biggest common factor number is the GCF number.
So the greatest common factor 9888 and 9894 is 6.

Also check out the Least Common Multiple of 9888 and 9894

Properties of GCF 9888 and 9894

(i) The GCF of 9888 and 9894 is associative

GCF of 9888 and 9894 = GCF of 9894 and 9888

Related Greatest Common Factor of 9888

Related Greatest Common Factor of 9894

Frequently Asked Questions on GCF of 9888 and 9894

1. What is the GCF of 9888 and 9894?

Answer: GCF of 9888 and 9894 is 6.

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 9894?

Answer: Factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894. There are 16 integers that are factors of 9894. The greatest factor of 9894 is 9894.

4. How to Find the GCF of 9888 and 9894?

Answer:

Greatest Common Factor of 9888 and 9894 = 6

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 9894

9894 = 2 x 3 x 17 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9888 and 9894 is 6