Greatest Common Factor of 990 and 998

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 990, 998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 990 and 998 is 2.

GCF(990,998) = 2

GCF of 990 and 998

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

GCF of:
and

Greatest Common Factor of 990 and 998

GCF of 990 and 998 is 2

Prime Factorization of 990


2 990
3 495
3 165
5 55
11 11
1

Prime factors of 990 are 2,3,5,11. Prime factorization of 990 in exponential form is:

990 = 21×32×51×111

Prime Factorization of 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

∴ So by taking common prime factors GCF of 990 and 998 is 2

Greatest Common Factor of 990 and 998 by matching factors method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors and prime factorization of 990 and 998. The biggest common factor number is the GCF number.
So the greatest common factor 990 and 998 is 2.

Also check out the Least Common Multiple of 990 and 998

Properties of GCF 990 and 998

(i) The GCF of 990 and 998 is associative

GCF of 990 and 998 = GCF of 998 and 990

Related Greatest Common Factor of 990

Related Greatest Common Factor of 998

Frequently Asked Questions on GCF of 990 and 998

1. What is the GCF of 990 and 998?

Answer: GCF of 990 and 998 is 2.

2. What are the Factors of 990?

Answer: Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. There are 24 integers that are factors of 990. The greatest factor of 990 is 990.

3. What are the Factors of 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

4. How to Find the GCF of 990 and 998?

Answer:

Greatest Common Factor of 990 and 998 = 2

Step 1: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 998

998 = 2 x 499

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 990 and 998 is 2