Greatest Common Factor of 7992 and 8000

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 7992, 8000 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7992 and 8000 is 8.

GCF(7992,8000) = 8

GCF of 7992 and 8000

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

GCF of:
and

Greatest Common Factor of 7992 and 8000

GCF of 7992 and 8000 is 8

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

Prime Factorization of 8000


2 8000
2 4000
2 2000
2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 8000 are 2,5. Prime factorization of 8000 in exponential form is:

8000 = 26×53

∴ So by taking common prime factors GCF of 7992 and 8000 is 8

Greatest Common Factor of 7992 and 8000 by matching factors method

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

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Greatest Common Factor

We found the factors and prime factorization of 7992 and 8000. The biggest common factor number is the GCF number.
So the greatest common factor 7992 and 8000 is 8.

Also check out the Least Common Multiple of 7992 and 8000

Properties of GCF 7992 and 8000

(i) The GCF of 7992 and 8000 is associative

GCF of 7992 and 8000 = GCF of 8000 and 7992

Related Greatest Common Factor of 7992

Related Greatest Common Factor of 8000

Frequently Asked Questions on GCF of 7992 and 8000

1. What is the GCF of 7992 and 8000?

Answer: GCF of 7992 and 8000 is 8.

2. 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.

3. What are the Factors of 8000?

Answer: Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000. There are 28 integers that are factors of 8000. The greatest factor of 8000 is 8000.

4. How to Find the GCF of 7992 and 8000?

Answer:

Greatest Common Factor of 7992 and 8000 = 8

Step 1: Find the prime factorization of 7992

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

Step 2: Find the prime factorization of 8000

8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7992 and 8000 is 8