Greatest Common Factor of 9888 and 9892

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, 9892 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9888 and 9892 is 4.

GCF(9888,9892) = 4

GCF of 9888 and 9892

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

GCF of:
and

Greatest Common Factor of 9888 and 9892

GCF of 9888 and 9892 is 4

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 9892


2 9892
2 4946
2473 2473
1

Prime factors of 9892 are 2,2473. Prime factorization of 9892 in exponential form is:

9892 = 22×24731

∴ So by taking common prime factors GCF of 9888 and 9892 is 4

Greatest Common Factor of 9888 and 9892 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 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Greatest Common Factor

We found the factors and prime factorization of 9888 and 9892. The biggest common factor number is the GCF number.
So the greatest common factor 9888 and 9892 is 4.

Also check out the Least Common Multiple of 9888 and 9892

Properties of GCF 9888 and 9892

(i) The GCF of 9888 and 9892 is associative

GCF of 9888 and 9892 = GCF of 9892 and 9888

Related Greatest Common Factor of 9888

Related Greatest Common Factor of 9892

Frequently Asked Questions on GCF of 9888 and 9892

1. What is the GCF of 9888 and 9892?

Answer: GCF of 9888 and 9892 is 4.

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 9892?

Answer: Factors of 9892 are 1, 2, 4, 2473, 4946, 9892. There are 6 integers that are factors of 9892. The greatest factor of 9892 is 9892.

4. How to Find the GCF of 9888 and 9892?

Answer:

Greatest Common Factor of 9888 and 9892 = 4

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 9892

9892 = 2 x 2 x 2473

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9888 and 9892 is 4