Greatest Common Factor of 9981 and 9987

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 9981, 9987 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9981 and 9987 is 3.

GCF(9981,9987) = 3

GCF of 9981 and 9987

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

GCF of:
and

Greatest Common Factor of 9981 and 9987

GCF of 9981 and 9987 is 3

Prime Factorization of 9981


3 9981
3 3327
1109 1109
1

Prime factors of 9981 are 3,1109. Prime factorization of 9981 in exponential form is:

9981 = 32×11091

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

∴ So by taking common prime factors GCF of 9981 and 9987 is 3

Greatest Common Factor of 9981 and 9987 by matching factors method

Factors of 9981

List of positive integer factors of 9981 that divides 9981 without a remainder.

1,3,9,1109,3327,9981

Factors of 9987

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

1,3,3329,9987

Greatest Common Factor

We found the factors and prime factorization of 9981 and 9987. The biggest common factor number is the GCF number.
So the greatest common factor 9981 and 9987 is 3.

Also check out the Least Common Multiple of 9981 and 9987

Properties of GCF 9981 and 9987

(i) The GCF of 9981 and 9987 is associative

GCF of 9981 and 9987 = GCF of 9987 and 9981

Related Greatest Common Factor of 9981

Related Greatest Common Factor of 9987

Frequently Asked Questions on GCF of 9981 and 9987

1. What is the GCF of 9981 and 9987?

Answer: GCF of 9981 and 9987 is 3.

2. What are the Factors of 9981?

Answer: Factors of 9981 are 1, 3, 9, 1109, 3327, 9981. There are 6 integers that are factors of 9981. The greatest factor of 9981 is 9981.

3. 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.

4. How to Find the GCF of 9981 and 9987?

Answer:

Greatest Common Factor of 9981 and 9987 = 3

Step 1: Find the prime factorization of 9981

9981 = 3 x 3 x 1109

Step 2: Find the prime factorization of 9987

9987 = 3 x 3329

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 9981 and 9987 is 3