Greatest Common Factor of 6988 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 6988, 6994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6988 and 6994 is 2.

GCF(6988,6994) = 2

GCF of 6988 and 6994

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

GCF of:
and

Greatest Common Factor of 6988 and 6994

GCF of 6988 and 6994 is 2

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

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 6988 and 6994 is 2

Greatest Common Factor of 6988 and 6994 by matching factors method

Factors of 6988

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

1,2,4,1747,3494,6988

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 6988 and 6994. The biggest common factor number is the GCF number.
So the greatest common factor 6988 and 6994 is 2.

Also check out the Least Common Multiple of 6988 and 6994

Properties of GCF 6988 and 6994

(i) The GCF of 6988 and 6994 is associative

GCF of 6988 and 6994 = GCF of 6994 and 6988

Related Greatest Common Factor of 6988

Related Greatest Common Factor of 6994

Frequently Asked Questions on GCF of 6988 and 6994

1. What is the GCF of 6988 and 6994?

Answer: GCF of 6988 and 6994 is 2.

2. 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.

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 6988 and 6994?

Answer:

Greatest Common Factor of 6988 and 6994 = 2

Step 1: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

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 6988 and 6994 is 2