Greatest Common Factor of 7984 and 7990

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 7984, 7990 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7984 and 7990 is 2.

GCF(7984,7990) = 2

GCF of 7984 and 7990

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

GCF of:
and

Greatest Common Factor of 7984 and 7990

GCF of 7984 and 7990 is 2

Prime Factorization of 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

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

∴ So by taking common prime factors GCF of 7984 and 7990 is 2

Greatest Common Factor of 7984 and 7990 by matching factors method

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1,2,4,8,16,499,998,1996,3992,7984

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

Greatest Common Factor

We found the factors and prime factorization of 7984 and 7990. The biggest common factor number is the GCF number.
So the greatest common factor 7984 and 7990 is 2.

Also check out the Least Common Multiple of 7984 and 7990

Properties of GCF 7984 and 7990

(i) The GCF of 7984 and 7990 is associative

GCF of 7984 and 7990 = GCF of 7990 and 7984

Related Greatest Common Factor of 7984

Related Greatest Common Factor of 7990

Frequently Asked Questions on GCF of 7984 and 7990

1. What is the GCF of 7984 and 7990?

Answer: GCF of 7984 and 7990 is 2.

2. What are the Factors of 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

3. 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.

4. How to Find the GCF of 7984 and 7990?

Answer:

Greatest Common Factor of 7984 and 7990 = 2

Step 1: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 7990

7990 = 2 x 5 x 17 x 47

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 7984 and 7990 is 2