Greatest Common Factor of 9990 and 9992

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 9990, 9992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9990 and 9992 is 2.

GCF(9990,9992) = 2

GCF of 9990 and 9992

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

GCF of:
and

Greatest Common Factor of 9990 and 9992

GCF of 9990 and 9992 is 2

Prime Factorization of 9990


2 9990
3 4995
3 1665
3 555
5 185
37 37
1

Prime factors of 9990 are 2,3,5,37. Prime factorization of 9990 in exponential form is:

9990 = 21×33×51×371

Prime Factorization of 9992


2 9992
2 4996
2 2498
1249 1249
1

Prime factors of 9992 are 2,1249. Prime factorization of 9992 in exponential form is:

9992 = 23×12491

∴ So by taking common prime factors GCF of 9990 and 9992 is 2

Greatest Common Factor of 9990 and 9992 by matching factors method

Factors of 9990

List of positive integer factors of 9990 that divides 9990 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Greatest Common Factor

We found the factors and prime factorization of 9990 and 9992. The biggest common factor number is the GCF number.
So the greatest common factor 9990 and 9992 is 2.

Also check out the Least Common Multiple of 9990 and 9992

Properties of GCF 9990 and 9992

(i) The GCF of 9990 and 9992 is associative

GCF of 9990 and 9992 = GCF of 9992 and 9990

Related Greatest Common Factor of 9990

Related Greatest Common Factor of 9992

Frequently Asked Questions on GCF of 9990 and 9992

1. What is the GCF of 9990 and 9992?

Answer: GCF of 9990 and 9992 is 2.

2. What are the Factors of 9990?

Answer: Factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. There are 32 integers that are factors of 9990. The greatest factor of 9990 is 9990.

3. What are the Factors of 9992?

Answer: Factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992. There are 8 integers that are factors of 9992. The greatest factor of 9992 is 9992.

4. How to Find the GCF of 9990 and 9992?

Answer:

Greatest Common Factor of 9990 and 9992 = 2

Step 1: Find the prime factorization of 9990

9990 = 2 x 3 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 9992

9992 = 2 x 2 x 2 x 1249

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9990 and 9992 is 2