Greatest Common Factor of 991 and 999

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 991, 999 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 991 and 999 is 1.

GCF(991,999) = 1

GCF of 991 and 999

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

GCF of:
and

Greatest Common Factor of 991 and 999

GCF of 991 and 999 is 1

Prime Factorization of 991


991 991
1

Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:

991 = 9911

Prime Factorization of 999


3 999
3 333
3 111
37 37
1

Prime factors of 999 are 3.Prime factorization of 999 in exponential form is:

999 = 33×371

∴ So by taking common prime factors GCF of 991 and 999 is 1

Greatest Common Factor of 991 and 999 by matching factors method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors and prime factorization of 991 and 999. The biggest common factor number is the GCF number.
So the greatest common factor 991 and 999 is 1.

Also check out the Least Common Multiple of 991 and 999

Properties of GCF 991 and 999

(i) The GCF of 991 and 999 is associative

GCF of 991 and 999 = GCF of 999 and 991

Related Greatest Common Factor of 991

Related Greatest Common Factor of 999

Frequently Asked Questions on GCF of 991 and 999

1. What is the GCF of 991 and 999?

Answer: GCF of 991 and 999 is 1.

2. What are the Factors of 991?

Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.

3. What are the Factors of 999?

Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.

4. How to Find the GCF of 991 and 999?

Answer:

Greatest Common Factor of 991 and 999 = 1

Step 1: Find the prime factorization of 991

991 = 991

Step 2: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

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 991 and 999 is 1