Greatest Common Factor of 7981 and 7983

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 7981, 7983 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7981 and 7983 is 1.

GCF(7981,7983) = 1

GCF of 7981 and 7983

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

GCF of:
and

Greatest Common Factor of 7981 and 7983

GCF of 7981 and 7983 is 1

Prime Factorization of 7981


23 7981
347 347
1

Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:

7981 = 231×3471

Prime Factorization of 7983


3 7983
3 2661
887 887
1

Prime factors of 7983 are 3,887. Prime factorization of 7983 in exponential form is:

7983 = 32×8871

∴ So by taking common prime factors GCF of 7981 and 7983 is 1

Greatest Common Factor of 7981 and 7983 by matching factors method

Factors of 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1,23,347,7981

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1,3,9,887,2661,7983

Greatest Common Factor

We found the factors and prime factorization of 7981 and 7983. The biggest common factor number is the GCF number.
So the greatest common factor 7981 and 7983 is 1.

Also check out the Least Common Multiple of 7981 and 7983

Properties of GCF 7981 and 7983

(i) The GCF of 7981 and 7983 is associative

GCF of 7981 and 7983 = GCF of 7983 and 7981

Related Greatest Common Factor of 7981

Related Greatest Common Factor of 7983

Frequently Asked Questions on GCF of 7981 and 7983

1. What is the GCF of 7981 and 7983?

Answer: GCF of 7981 and 7983 is 1.

2. What are the Factors of 7981?

Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.

3. What are the Factors of 7983?

Answer: Factors of 7983 are 1, 3, 9, 887, 2661, 7983. There are 6 integers that are factors of 7983. The greatest factor of 7983 is 7983.

4. How to Find the GCF of 7981 and 7983?

Answer:

Greatest Common Factor of 7981 and 7983 = 1

Step 1: Find the prime factorization of 7981

7981 = 23 x 347

Step 2: Find the prime factorization of 7983

7983 = 3 x 3 x 887

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 7981 and 7983 is 1