Greatest Common Factor of 9979 and 9983

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 9979, 9983 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9979 and 9983 is 1.

GCF(9979,9983) = 1

GCF of 9979 and 9983

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

GCF of:
and

Greatest Common Factor of 9979 and 9983

GCF of 9979 and 9983 is 1

Prime Factorization of 9979


17 9979
587 587
1

Prime factors of 9979 are 17,587. Prime factorization of 9979 in exponential form is:

9979 = 171×5871

Prime Factorization of 9983


67 9983
149 149
1

Prime factors of 9983 are 67,149. Prime factorization of 9983 in exponential form is:

9983 = 671×1491

∴ So by taking common prime factors GCF of 9979 and 9983 is 1

Greatest Common Factor of 9979 and 9983 by matching factors method

Factors of 9979

List of positive integer factors of 9979 that divides 9979 without a remainder.

1,17,587,9979

Factors of 9983

List of positive integer factors of 9983 that divides 9983 without a remainder.

1,67,149,9983

Greatest Common Factor

We found the factors and prime factorization of 9979 and 9983. The biggest common factor number is the GCF number.
So the greatest common factor 9979 and 9983 is 1.

Also check out the Least Common Multiple of 9979 and 9983

Properties of GCF 9979 and 9983

(i) The GCF of 9979 and 9983 is associative

GCF of 9979 and 9983 = GCF of 9983 and 9979

Related Greatest Common Factor of 9979

Related Greatest Common Factor of 9983

Frequently Asked Questions on GCF of 9979 and 9983

1. What is the GCF of 9979 and 9983?

Answer: GCF of 9979 and 9983 is 1.

2. What are the Factors of 9979?

Answer: Factors of 9979 are 1, 17, 587, 9979. There are 4 integers that are factors of 9979. The greatest factor of 9979 is 9979.

3. What are the Factors of 9983?

Answer: Factors of 9983 are 1, 67, 149, 9983. There are 4 integers that are factors of 9983. The greatest factor of 9983 is 9983.

4. How to Find the GCF of 9979 and 9983?

Answer:

Greatest Common Factor of 9979 and 9983 = 1

Step 1: Find the prime factorization of 9979

9979 = 17 x 587

Step 2: Find the prime factorization of 9983

9983 = 67 x 149

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9979 and 9983 is 1