Greatest Common Factor of 990 and 995

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, 995 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 990 and 995 is 5.

GCF(990,995) = 5

GCF of 990 and 995

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

GCF of:
and

Greatest Common Factor of 990 and 995

GCF of 990 and 995 is 5

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 995


5 995
199 199
1

Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:

995 = 51×1991

∴ So by taking common prime factors GCF of 990 and 995 is 5

Greatest Common Factor of 990 and 995 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 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors and prime factorization of 990 and 995. The biggest common factor number is the GCF number.
So the greatest common factor 990 and 995 is 5.

Also check out the Least Common Multiple of 990 and 995

Properties of GCF 990 and 995

(i) The GCF of 990 and 995 is associative

GCF of 990 and 995 = GCF of 995 and 990

Related Greatest Common Factor of 990

Related Greatest Common Factor of 995

Frequently Asked Questions on GCF of 990 and 995

1. What is the GCF of 990 and 995?

Answer: GCF of 990 and 995 is 5.

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 995?

Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.

4. How to Find the GCF of 990 and 995?

Answer:

Greatest Common Factor of 990 and 995 = 5

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 995

995 = 5 x 199

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

GCF = 5

Step 4: Therefore, the greatest common factor of 990 and 995 is 5