Greatest Common Factor of 7986 and 7994

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 7986, 7994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7986 and 7994 is 2.

GCF(7986,7994) = 2

GCF of 7986 and 7994

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

GCF of:
and

Greatest Common Factor of 7986 and 7994

GCF of 7986 and 7994 is 2

Prime Factorization of 7986


2 7986
3 3993
11 1331
11 121
11 11
1

Prime factors of 7986 are 2,3,11. Prime factorization of 7986 in exponential form is:

7986 = 21×31×113

Prime Factorization of 7994


2 7994
7 3997
571 571
1

Prime factors of 7994 are 2,7,571. Prime factorization of 7994 in exponential form is:

7994 = 21×71×5711

∴ So by taking common prime factors GCF of 7986 and 7994 is 2

Greatest Common Factor of 7986 and 7994 by matching factors method

Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986

Factors of 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1,2,7,14,571,1142,3997,7994

Greatest Common Factor

We found the factors and prime factorization of 7986 and 7994. The biggest common factor number is the GCF number.
So the greatest common factor 7986 and 7994 is 2.

Also check out the Least Common Multiple of 7986 and 7994

Properties of GCF 7986 and 7994

(i) The GCF of 7986 and 7994 is associative

GCF of 7986 and 7994 = GCF of 7994 and 7986

Related Greatest Common Factor of 7986

Related Greatest Common Factor of 7994

Frequently Asked Questions on GCF of 7986 and 7994

1. What is the GCF of 7986 and 7994?

Answer: GCF of 7986 and 7994 is 2.

2. What are the Factors of 7986?

Answer: Factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986. There are 16 integers that are factors of 7986. The greatest factor of 7986 is 7986.

3. What are the Factors of 7994?

Answer: Factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994. There are 8 integers that are factors of 7994. The greatest factor of 7994 is 7994.

4. How to Find the GCF of 7986 and 7994?

Answer:

Greatest Common Factor of 7986 and 7994 = 2

Step 1: Find the prime factorization of 7986

7986 = 2 x 3 x 11 x 11 x 11

Step 2: Find the prime factorization of 7994

7994 = 2 x 7 x 571

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 7986 and 7994 is 2