Greatest Common Factor of 7976 and 7982

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 7976, 7982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7976 and 7982 is 2.

GCF(7976,7982) = 2

GCF of 7976 and 7982

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

GCF of:
and

Greatest Common Factor of 7976 and 7982

GCF of 7976 and 7982 is 2

Prime Factorization of 7976


2 7976
2 3988
2 1994
997 997
1

Prime factors of 7976 are 2,997. Prime factorization of 7976 in exponential form is:

7976 = 23×9971

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

∴ So by taking common prime factors GCF of 7976 and 7982 is 2

Greatest Common Factor of 7976 and 7982 by matching factors method

Factors of 7976

List of positive integer factors of 7976 that divides 7976 without a remainder.

1,2,4,8,997,1994,3988,7976

Factors of 7982

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

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

Greatest Common Factor

We found the factors and prime factorization of 7976 and 7982. The biggest common factor number is the GCF number.
So the greatest common factor 7976 and 7982 is 2.

Also check out the Least Common Multiple of 7976 and 7982

Properties of GCF 7976 and 7982

(i) The GCF of 7976 and 7982 is associative

GCF of 7976 and 7982 = GCF of 7982 and 7976

Related Greatest Common Factor of 7976

Related Greatest Common Factor of 7982

Frequently Asked Questions on GCF of 7976 and 7982

1. What is the GCF of 7976 and 7982?

Answer: GCF of 7976 and 7982 is 2.

2. What are the Factors of 7976?

Answer: Factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976. There are 8 integers that are factors of 7976. The greatest factor of 7976 is 7976.

3. 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.

4. How to Find the GCF of 7976 and 7982?

Answer:

Greatest Common Factor of 7976 and 7982 = 2

Step 1: Find the prime factorization of 7976

7976 = 2 x 2 x 2 x 997

Step 2: Find the prime factorization of 7982

7982 = 2 x 13 x 307

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 7976 and 7982 is 2