Greatest Common Factor of 6986 and 6994

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 6986, 6994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6986 and 6994 is 2.

GCF(6986,6994) = 2

GCF of 6986 and 6994

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

GCF of:
and

Greatest Common Factor of 6986 and 6994

GCF of 6986 and 6994 is 2

Prime Factorization of 6986


2 6986
7 3493
499 499
1

Prime factors of 6986 are 2,7,499. Prime factorization of 6986 in exponential form is:

6986 = 21×71×4991

Prime Factorization of 6994


2 6994
13 3497
269 269
1

Prime factors of 6994 are 2,13,269. Prime factorization of 6994 in exponential form is:

6994 = 21×131×2691

∴ So by taking common prime factors GCF of 6986 and 6994 is 2

Greatest Common Factor of 6986 and 6994 by matching factors method

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1,2,7,14,499,998,3493,6986

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1,2,13,26,269,538,3497,6994

Greatest Common Factor

We found the factors and prime factorization of 6986 and 6994. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 6994 is 2.

Also check out the Least Common Multiple of 6986 and 6994

Properties of GCF 6986 and 6994

(i) The GCF of 6986 and 6994 is associative

GCF of 6986 and 6994 = GCF of 6994 and 6986

Related Greatest Common Factor of 6986

Related Greatest Common Factor of 6994

Frequently Asked Questions on GCF of 6986 and 6994

1. What is the GCF of 6986 and 6994?

Answer: GCF of 6986 and 6994 is 2.

2. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

3. What are the Factors of 6994?

Answer: Factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994. There are 8 integers that are factors of 6994. The greatest factor of 6994 is 6994.

4. How to Find the GCF of 6986 and 6994?

Answer:

Greatest Common Factor of 6986 and 6994 = 2

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6994

6994 = 2 x 13 x 269

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 6986 and 6994 is 2