Greatest Common Factor of 999 and 1002

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, 1002 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 999 and 1002 is 3.

GCF(999,1002) = 3

GCF of 999 and 1002

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

GCF of:
and

Greatest Common Factor of 999 and 1002

GCF of 999 and 1002 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 1002


2 1002
3 501
167 167
1

Prime factors of 1002 are 2,3,167. Prime factorization of 1002 in exponential form is:

1002 = 21×31×1671

∴ So by taking common prime factors GCF of 999 and 1002 is 3

Greatest Common Factor of 999 and 1002 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 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1,2,3,6,167,334,501,1002

Greatest Common Factor

We found the factors and prime factorization of 999 and 1002. The biggest common factor number is the GCF number.
So the greatest common factor 999 and 1002 is 3.

Also check out the Least Common Multiple of 999 and 1002

Properties of GCF 999 and 1002

(i) The GCF of 999 and 1002 is associative

GCF of 999 and 1002 = GCF of 1002 and 999

Related Greatest Common Factor of 999

Related Greatest Common Factor of 1002

Frequently Asked Questions on GCF of 999 and 1002

1. What is the GCF of 999 and 1002?

Answer: GCF of 999 and 1002 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 1002?

Answer: Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. There are 8 integers that are factors of 1002. The greatest factor of 1002 is 1002.

4. How to Find the GCF of 999 and 1002?

Answer:

Greatest Common Factor of 999 and 1002 = 3

Step 1: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 1002

1002 = 2 x 3 x 167

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 1002 is 3