Greatest Common Factor of 994 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 994, 999 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 994 and 999 is 1.

GCF(994,999) = 1

GCF of 994 and 999

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

GCF of:
and

Greatest Common Factor of 994 and 999

GCF of 994 and 999 is 1

Prime Factorization of 994


2 994
7 497
71 71
1

Prime factors of 994 are 2,7,71. Prime factorization of 994 in exponential form is:

994 = 21×71×711

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 994 and 999 is 1

Greatest Common Factor of 994 and 999 by matching factors method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

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 994 and 999. The biggest common factor number is the GCF number.
So the greatest common factor 994 and 999 is 1.

Also check out the Least Common Multiple of 994 and 999

Properties of GCF 994 and 999

(i) The GCF of 994 and 999 is associative

GCF of 994 and 999 = GCF of 999 and 994

Related Greatest Common Factor of 994

Related Greatest Common Factor of 999

Frequently Asked Questions on GCF of 994 and 999

1. What is the GCF of 994 and 999?

Answer: GCF of 994 and 999 is 1.

2. What are the Factors of 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

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 994 and 999?

Answer:

Greatest Common Factor of 994 and 999 = 1

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

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 994 and 999 is 1