Greatest Common Factor of 9982 and 9989

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 9982, 9989 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9982 and 9989 is 7.

GCF(9982,9989) = 7

GCF of 9982 and 9989

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

GCF of:
and

Greatest Common Factor of 9982 and 9989

GCF of 9982 and 9989 is 7

Prime Factorization of 9982


2 9982
7 4991
23 713
31 31
1

Prime factors of 9982 are 2,7,23,31. Prime factorization of 9982 in exponential form is:

9982 = 21×71×231×311

Prime Factorization of 9989


7 9989
1427 1427
1

Prime factors of 9989 are 7,1427. Prime factorization of 9989 in exponential form is:

9989 = 71×14271

∴ So by taking common prime factors GCF of 9982 and 9989 is 7

Greatest Common Factor of 9982 and 9989 by matching factors method

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Factors of 9989

List of positive integer factors of 9989 that divides 9989 without a remainder.

1,7,1427,9989

Greatest Common Factor

We found the factors and prime factorization of 9982 and 9989. The biggest common factor number is the GCF number.
So the greatest common factor 9982 and 9989 is 7.

Also check out the Least Common Multiple of 9982 and 9989

Properties of GCF 9982 and 9989

(i) The GCF of 9982 and 9989 is associative

GCF of 9982 and 9989 = GCF of 9989 and 9982

Related Greatest Common Factor of 9982

Related Greatest Common Factor of 9989

Frequently Asked Questions on GCF of 9982 and 9989

1. What is the GCF of 9982 and 9989?

Answer: GCF of 9982 and 9989 is 7.

2. What are the Factors of 9982?

Answer: Factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982. There are 16 integers that are factors of 9982. The greatest factor of 9982 is 9982.

3. What are the Factors of 9989?

Answer: Factors of 9989 are 1, 7, 1427, 9989. There are 4 integers that are factors of 9989. The greatest factor of 9989 is 9989.

4. How to Find the GCF of 9982 and 9989?

Answer:

Greatest Common Factor of 9982 and 9989 = 7

Step 1: Find the prime factorization of 9982

9982 = 2 x 7 x 23 x 31

Step 2: Find the prime factorization of 9989

9989 = 7 x 1427

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9982 and 9989 is 7