Greatest Common Factor of 994 and 996

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, 996 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 994 and 996 is 2.

GCF(994,996) = 2

GCF of 994 and 996

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

GCF of:
and

Greatest Common Factor of 994 and 996

GCF of 994 and 996 is 2

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 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2,3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

∴ So by taking common prime factors GCF of 994 and 996 is 2

Greatest Common Factor of 994 and 996 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 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors and prime factorization of 994 and 996. The biggest common factor number is the GCF number.
So the greatest common factor 994 and 996 is 2.

Also check out the Least Common Multiple of 994 and 996

Properties of GCF 994 and 996

(i) The GCF of 994 and 996 is associative

GCF of 994 and 996 = GCF of 996 and 994

Related Greatest Common Factor of 994

Related Greatest Common Factor of 996

Frequently Asked Questions on GCF of 994 and 996

1. What is the GCF of 994 and 996?

Answer: GCF of 994 and 996 is 2.

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 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the GCF of 994 and 996?

Answer:

Greatest Common Factor of 994 and 996 = 2

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 994 and 996 is 2