Greatest Common Factor of 9987 and 9990

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 9987, 9990 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9987 and 9990 is 3.

GCF(9987,9990) = 3

GCF of 9987 and 9990

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

GCF of:
and

Greatest Common Factor of 9987 and 9990

GCF of 9987 and 9990 is 3

Prime Factorization of 9987


3 9987
3329 3329
1

Prime factors of 9987 are 3,3329. Prime factorization of 9987 in exponential form is:

9987 = 31×33291

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

∴ So by taking common prime factors GCF of 9987 and 9990 is 3

Greatest Common Factor of 9987 and 9990 by matching factors method

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

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

Greatest Common Factor

We found the factors and prime factorization of 9987 and 9990. The biggest common factor number is the GCF number.
So the greatest common factor 9987 and 9990 is 3.

Also check out the Least Common Multiple of 9987 and 9990

Properties of GCF 9987 and 9990

(i) The GCF of 9987 and 9990 is associative

GCF of 9987 and 9990 = GCF of 9990 and 9987

Related Greatest Common Factor of 9987

Related Greatest Common Factor of 9990

Frequently Asked Questions on GCF of 9987 and 9990

1. What is the GCF of 9987 and 9990?

Answer: GCF of 9987 and 9990 is 3.

2. What are the Factors of 9987?

Answer: Factors of 9987 are 1, 3, 3329, 9987. There are 4 integers that are factors of 9987. The greatest factor of 9987 is 9987.

3. 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.

4. How to Find the GCF of 9987 and 9990?

Answer:

Greatest Common Factor of 9987 and 9990 = 3

Step 1: Find the prime factorization of 9987

9987 = 3 x 3329

Step 2: Find the prime factorization of 9990

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9987 and 9990 is 3