Greatest Common Factor of 7999 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 7999, 8000 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7999 and 8000 is 1.

GCF(7999,8000) = 1

GCF of 7999 and 8000

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

GCF of:
and

Greatest Common Factor of 7999 and 8000

GCF of 7999 and 8000 is 1

Prime Factorization of 7999


19 7999
421 421
1

Prime factors of 7999 are 19,421. Prime factorization of 7999 in exponential form is:

7999 = 191×4211

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 7999 and 8000 is 1

Greatest Common Factor of 7999 and 8000 by matching factors method

Factors of 7999

List of positive integer factors of 7999 that divides 7999 without a remainder.

1,19,421,7999

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 7999 and 8000. The biggest common factor number is the GCF number.
So the greatest common factor 7999 and 8000 is 1.

Also check out the Least Common Multiple of 7999 and 8000

Properties of GCF 7999 and 8000

(i) The GCF of 7999 and 8000 is associative

GCF of 7999 and 8000 = GCF of 8000 and 7999

Related Greatest Common Factor of 7999

Related Greatest Common Factor of 8000

Frequently Asked Questions on GCF of 7999 and 8000

1. What is the GCF of 7999 and 8000?

Answer: GCF of 7999 and 8000 is 1.

2. What are the Factors of 7999?

Answer: Factors of 7999 are 1, 19, 421, 7999. There are 4 integers that are factors of 7999. The greatest factor of 7999 is 7999.

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 7999 and 8000?

Answer:

Greatest Common Factor of 7999 and 8000 = 1

Step 1: Find the prime factorization of 7999

7999 = 19 x 421

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 = = 1

Step 4: Therefore, the greatest common factor of 7999 and 8000 is 1