Greatest Common Factor of 7982 and 7984

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 7982, 7984 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7982 and 7984 is 2.

GCF(7982,7984) = 2

GCF of 7982 and 7984

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

GCF of:
and

Greatest Common Factor of 7982 and 7984

GCF of 7982 and 7984 is 2

Prime Factorization of 7982


2 7982
13 3991
307 307
1

Prime factors of 7982 are 2,13,307. Prime factorization of 7982 in exponential form is:

7982 = 21×131×3071

Prime Factorization of 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

∴ So by taking common prime factors GCF of 7982 and 7984 is 2

Greatest Common Factor of 7982 and 7984 by matching factors method

Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1,2,13,26,307,614,3991,7982

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1,2,4,8,16,499,998,1996,3992,7984

Greatest Common Factor

We found the factors and prime factorization of 7982 and 7984. The biggest common factor number is the GCF number.
So the greatest common factor 7982 and 7984 is 2.

Also check out the Least Common Multiple of 7982 and 7984

Properties of GCF 7982 and 7984

(i) The GCF of 7982 and 7984 is associative

GCF of 7982 and 7984 = GCF of 7984 and 7982

Related Greatest Common Factor of 7982

Related Greatest Common Factor of 7984

Frequently Asked Questions on GCF of 7982 and 7984

1. What is the GCF of 7982 and 7984?

Answer: GCF of 7982 and 7984 is 2.

2. What are the Factors of 7982?

Answer: Factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982. There are 8 integers that are factors of 7982. The greatest factor of 7982 is 7982.

3. What are the Factors of 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

4. How to Find the GCF of 7982 and 7984?

Answer:

Greatest Common Factor of 7982 and 7984 = 2

Step 1: Find the prime factorization of 7982

7982 = 2 x 13 x 307

Step 2: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7982 and 7984 is 2