Greatest Common Factor of 9990 and 9998

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, 9998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9990 and 9998 is 2.

GCF(9990,9998) = 2

GCF of 9990 and 9998

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

GCF of:
and

Greatest Common Factor of 9990 and 9998

GCF of 9990 and 9998 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 9998


2 9998
4999 4999
1

Prime factors of 9998 are 2,4999. Prime factorization of 9998 in exponential form is:

9998 = 21×49991

∴ So by taking common prime factors GCF of 9990 and 9998 is 2

Greatest Common Factor of 9990 and 9998 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 9998

List of positive integer factors of 9998 that divides 9998 without a remainder.

1,2,4999,9998

Greatest Common Factor

We found the factors and prime factorization of 9990 and 9998. The biggest common factor number is the GCF number.
So the greatest common factor 9990 and 9998 is 2.

Also check out the Least Common Multiple of 9990 and 9998

Properties of GCF 9990 and 9998

(i) The GCF of 9990 and 9998 is associative

GCF of 9990 and 9998 = GCF of 9998 and 9990

Related Greatest Common Factor of 9990

Related Greatest Common Factor of 9998

Frequently Asked Questions on GCF of 9990 and 9998

1. What is the GCF of 9990 and 9998?

Answer: GCF of 9990 and 9998 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 9998?

Answer: Factors of 9998 are 1, 2, 4999, 9998. There are 4 integers that are factors of 9998. The greatest factor of 9998 is 9998.

4. How to Find the GCF of 9990 and 9998?

Answer:

Greatest Common Factor of 9990 and 9998 = 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 9998

9998 = 2 x 4999

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 9998 is 2