Greatest Common Factor of 7984 and 7988

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, 7988 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7984 and 7988 is 4.

GCF(7984,7988) = 4

GCF of 7984 and 7988

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

GCF of:
and

Greatest Common Factor of 7984 and 7988

GCF of 7984 and 7988 is 4

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 7988


2 7988
2 3994
1997 1997
1

Prime factors of 7988 are 2,1997. Prime factorization of 7988 in exponential form is:

7988 = 22×19971

∴ So by taking common prime factors GCF of 7984 and 7988 is 4

Greatest Common Factor of 7984 and 7988 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 7988

List of positive integer factors of 7988 that divides 7988 without a remainder.

1,2,4,1997,3994,7988

Greatest Common Factor

We found the factors and prime factorization of 7984 and 7988. The biggest common factor number is the GCF number.
So the greatest common factor 7984 and 7988 is 4.

Also check out the Least Common Multiple of 7984 and 7988

Properties of GCF 7984 and 7988

(i) The GCF of 7984 and 7988 is associative

GCF of 7984 and 7988 = GCF of 7988 and 7984

Related Greatest Common Factor of 7984

Related Greatest Common Factor of 7988

Frequently Asked Questions on GCF of 7984 and 7988

1. What is the GCF of 7984 and 7988?

Answer: GCF of 7984 and 7988 is 4.

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 7988?

Answer: Factors of 7988 are 1, 2, 4, 1997, 3994, 7988. There are 6 integers that are factors of 7988. The greatest factor of 7988 is 7988.

4. How to Find the GCF of 7984 and 7988?

Answer:

Greatest Common Factor of 7984 and 7988 = 4

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 7988

7988 = 2 x 2 x 1997

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7984 and 7988 is 4