Greatest Common Factor of 6986 and 6988

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, 6988 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6986 and 6988 is 2.

GCF(6986,6988) = 2

GCF of 6986 and 6988

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

GCF of:
and

Greatest Common Factor of 6986 and 6988

GCF of 6986 and 6988 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 6988


2 6988
2 3494
1747 1747
1

Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:

6988 = 22×17471

∴ So by taking common prime factors GCF of 6986 and 6988 is 2

Greatest Common Factor of 6986 and 6988 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 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Greatest Common Factor

We found the factors and prime factorization of 6986 and 6988. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 6988 is 2.

Also check out the Least Common Multiple of 6986 and 6988

Properties of GCF 6986 and 6988

(i) The GCF of 6986 and 6988 is associative

GCF of 6986 and 6988 = GCF of 6988 and 6986

Related Greatest Common Factor of 6986

Related Greatest Common Factor of 6988

Frequently Asked Questions on GCF of 6986 and 6988

1. What is the GCF of 6986 and 6988?

Answer: GCF of 6986 and 6988 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 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

4. How to Find the GCF of 6986 and 6988?

Answer:

Greatest Common Factor of 6986 and 6988 = 2

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

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 6988 is 2