Greatest Common Factor of 7984 and 7991

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, 7991 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7984 and 7991 is 1.

GCF(7984,7991) = 1

GCF of 7984 and 7991

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

GCF of:
and

Greatest Common Factor of 7984 and 7991

GCF of 7984 and 7991 is 1

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 7991


61 7991
131 131
1

Prime factors of 7991 are 61,131. Prime factorization of 7991 in exponential form is:

7991 = 611×1311

∴ So by taking common prime factors GCF of 7984 and 7991 is 1

Greatest Common Factor of 7984 and 7991 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 7991

List of positive integer factors of 7991 that divides 7991 without a remainder.

1,61,131,7991

Greatest Common Factor

We found the factors and prime factorization of 7984 and 7991. The biggest common factor number is the GCF number.
So the greatest common factor 7984 and 7991 is 1.

Also check out the Least Common Multiple of 7984 and 7991

Properties of GCF 7984 and 7991

(i) The GCF of 7984 and 7991 is associative

GCF of 7984 and 7991 = GCF of 7991 and 7984

Related Greatest Common Factor of 7984

Related Greatest Common Factor of 7991

Frequently Asked Questions on GCF of 7984 and 7991

1. What is the GCF of 7984 and 7991?

Answer: GCF of 7984 and 7991 is 1.

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 7991?

Answer: Factors of 7991 are 1, 61, 131, 7991. There are 4 integers that are factors of 7991. The greatest factor of 7991 is 7991.

4. How to Find the GCF of 7984 and 7991?

Answer:

Greatest Common Factor of 7984 and 7991 = 1

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 7991

7991 = 61 x 131

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 7984 and 7991 is 1