Greatest Common Factor of 7990 and 7996

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 7990, 7996 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7990 and 7996 is 2.

GCF(7990,7996) = 2

GCF of 7990 and 7996

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

GCF of:
and

Greatest Common Factor of 7990 and 7996

GCF of 7990 and 7996 is 2

Prime Factorization of 7990


2 7990
5 3995
17 799
47 47
1

Prime factors of 7990 are 2,5,17,47. Prime factorization of 7990 in exponential form is:

7990 = 21×51×171×471

Prime Factorization of 7996


2 7996
2 3998
1999 1999
1

Prime factors of 7996 are 2,1999. Prime factorization of 7996 in exponential form is:

7996 = 22×19991

∴ So by taking common prime factors GCF of 7990 and 7996 is 2

Greatest Common Factor of 7990 and 7996 by matching factors method

Factors of 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1,2,4,1999,3998,7996

Greatest Common Factor

We found the factors and prime factorization of 7990 and 7996. The biggest common factor number is the GCF number.
So the greatest common factor 7990 and 7996 is 2.

Also check out the Least Common Multiple of 7990 and 7996

Properties of GCF 7990 and 7996

(i) The GCF of 7990 and 7996 is associative

GCF of 7990 and 7996 = GCF of 7996 and 7990

Related Greatest Common Factor of 7990

Related Greatest Common Factor of 7996

Frequently Asked Questions on GCF of 7990 and 7996

1. What is the GCF of 7990 and 7996?

Answer: GCF of 7990 and 7996 is 2.

2. What are the Factors of 7990?

Answer: Factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990. There are 16 integers that are factors of 7990. The greatest factor of 7990 is 7990.

3. What are the Factors of 7996?

Answer: Factors of 7996 are 1, 2, 4, 1999, 3998, 7996. There are 6 integers that are factors of 7996. The greatest factor of 7996 is 7996.

4. How to Find the GCF of 7990 and 7996?

Answer:

Greatest Common Factor of 7990 and 7996 = 2

Step 1: Find the prime factorization of 7990

7990 = 2 x 5 x 17 x 47

Step 2: Find the prime factorization of 7996

7996 = 2 x 2 x 1999

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 7990 and 7996 is 2