Greatest Common Factor of 999 and 1005

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 999, 1005 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 999 and 1005 is 3.

GCF(999,1005) = 3

GCF of 999 and 1005

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

GCF of:
and

Greatest Common Factor of 999 and 1005

GCF of 999 and 1005 is 3

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

Prime Factorization of 1005


3 1005
5 335
67 67
1

Prime factors of 1005 are 3,5,67. Prime factorization of 1005 in exponential form is:

1005 = 31×51×671

∴ So by taking common prime factors GCF of 999 and 1005 is 3

Greatest Common Factor of 999 and 1005 by matching factors method

Factors of 999

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

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

Factors of 1005

List of positive integer factors of 1005 that divides 1005 without a remainder.

1,3,5,15,67,201,335,1005

Greatest Common Factor

We found the factors and prime factorization of 999 and 1005. The biggest common factor number is the GCF number.
So the greatest common factor 999 and 1005 is 3.

Also check out the Least Common Multiple of 999 and 1005

Properties of GCF 999 and 1005

(i) The GCF of 999 and 1005 is associative

GCF of 999 and 1005 = GCF of 1005 and 999

Related Greatest Common Factor of 999

Related Greatest Common Factor of 1005

Frequently Asked Questions on GCF of 999 and 1005

1. What is the GCF of 999 and 1005?

Answer: GCF of 999 and 1005 is 3.

2. 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.

3. What are the Factors of 1005?

Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.

4. How to Find the GCF of 999 and 1005?

Answer:

Greatest Common Factor of 999 and 1005 = 3

Step 1: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 1005

1005 = 3 x 5 x 67

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 999 and 1005 is 3