Greatest Common Factor of 993 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 993, 999 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 993 and 999 is 3.

GCF(993,999) = 3

GCF of 993 and 999

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

GCF of:
and

Greatest Common Factor of 993 and 999

GCF of 993 and 999 is 3

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Prime Factorization of 999


3 999
3 333
3 111
37 37
1

Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:

999 = 33×371

∴ So by taking common prime factors GCF of 993 and 999 is 3

Greatest Common Factor of 993 and 999 by matching factors method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

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 993 and 999. The biggest common factor number is the GCF number.
So the greatest common factor 993 and 999 is 3.

Also check out the Least Common Multiple of 993 and 999

Properties of GCF 993 and 999

(i) The GCF of 993 and 999 is associative

GCF of 993 and 999 = GCF of 999 and 993

Related Greatest Common Factor of 993

Related Greatest Common Factor of 999

Frequently Asked Questions on GCF of 993 and 999

1. What is the GCF of 993 and 999?

Answer: GCF of 993 and 999 is 3.

2. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

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 993 and 999?

Answer:

Greatest Common Factor of 993 and 999 = 3

Step 1: Find the prime factorization of 993

993 = 3 x 331

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 = 3

Step 4: Therefore, the greatest common factor of 993 and 999 is 3