Greatest Common Factor of 986 and 994

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 986, 994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 986 and 994 is 2.

GCF(986,994) = 2

GCF of 986 and 994

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

GCF of:
and

Greatest Common Factor of 986 and 994

GCF of 986 and 994 is 2

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2,17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

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

∴ So by taking common prime factors GCF of 986 and 994 is 2

Greatest Common Factor of 986 and 994 by matching factors method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 994

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

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

Greatest Common Factor

We found the factors and prime factorization of 986 and 994. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 994 is 2.

Also check out the Least Common Multiple of 986 and 994

Properties of GCF 986 and 994

(i) The GCF of 986 and 994 is associative

GCF of 986 and 994 = GCF of 994 and 986

Related Greatest Common Factor of 986

Related Greatest Common Factor of 994

Frequently Asked Questions on GCF of 986 and 994

1. What is the GCF of 986 and 994?

Answer: GCF of 986 and 994 is 2.

2. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

3. 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.

4. How to Find the GCF of 986 and 994?

Answer:

Greatest Common Factor of 986 and 994 = 2

Step 1: Find the prime factorization of 986

986 = 2 x 17 x 29

Step 2: Find the prime factorization of 994

994 = 2 x 7 x 71

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 986 and 994 is 2