Greatest Common Factor of 7986 and 7992

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, 7992 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7986 and 7992 is 6.

GCF(7986,7992) = 6

GCF of 7986 and 7992

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

GCF of:
and

Greatest Common Factor of 7986 and 7992

GCF of 7986 and 7992 is 6

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 7992


2 7992
2 3996
2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 7992 are 2,3,37. Prime factorization of 7992 in exponential form is:

7992 = 23×33×371

∴ So by taking common prime factors GCF of 7986 and 7992 is 6

Greatest Common Factor of 7986 and 7992 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 7992

List of positive integer factors of 7992 that divides 7992 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992

Greatest Common Factor

We found the factors and prime factorization of 7986 and 7992. The biggest common factor number is the GCF number.
So the greatest common factor 7986 and 7992 is 6.

Also check out the Least Common Multiple of 7986 and 7992

Properties of GCF 7986 and 7992

(i) The GCF of 7986 and 7992 is associative

GCF of 7986 and 7992 = GCF of 7992 and 7986

Related Greatest Common Factor of 7986

Related Greatest Common Factor of 7992

Frequently Asked Questions on GCF of 7986 and 7992

1. What is the GCF of 7986 and 7992?

Answer: GCF of 7986 and 7992 is 6.

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 7992?

Answer: Factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992. There are 32 integers that are factors of 7992. The greatest factor of 7992 is 7992.

4. How to Find the GCF of 7986 and 7992?

Answer:

Greatest Common Factor of 7986 and 7992 = 6

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 7992

7992 = 2 x 2 x 2 x 3 x 3 x 3 x 37

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7986 and 7992 is 6