Greatest Common Factor of 7991 and 7999

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 7991, 7999 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7991 and 7999 is 1.

GCF(7991,7999) = 1

GCF of 7991 and 7999

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

GCF of:
and

Greatest Common Factor of 7991 and 7999

GCF of 7991 and 7999 is 1

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

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

∴ So by taking common prime factors GCF of 7991 and 7999 is 1

Greatest Common Factor of 7991 and 7999 by matching factors method

Factors of 7991

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

1,61,131,7991

Factors of 7999

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

1,19,421,7999

Greatest Common Factor

We found the factors and prime factorization of 7991 and 7999. The biggest common factor number is the GCF number.
So the greatest common factor 7991 and 7999 is 1.

Also check out the Least Common Multiple of 7991 and 7999

Properties of GCF 7991 and 7999

(i) The GCF of 7991 and 7999 is associative

GCF of 7991 and 7999 = GCF of 7999 and 7991

Related Greatest Common Factor of 7991

Related Greatest Common Factor of 7999

Frequently Asked Questions on GCF of 7991 and 7999

1. What is the GCF of 7991 and 7999?

Answer: GCF of 7991 and 7999 is 1.

2. 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.

3. 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.

4. How to Find the GCF of 7991 and 7999?

Answer:

Greatest Common Factor of 7991 and 7999 = 1

Step 1: Find the prime factorization of 7991

7991 = 61 x 131

Step 2: Find the prime factorization of 7999

7999 = 19 x 421

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 7991 and 7999 is 1