Greatest Common Factor of 6698 and 6704

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 6698, 6704 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6698 and 6704 is 2.

GCF(6698,6704) = 2

GCF of 6698 and 6704

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

GCF of:
and

Greatest Common Factor of 6698 and 6704

GCF of 6698 and 6704 is 2

Prime Factorization of 6698


2 6698
17 3349
197 197
1

Prime factors of 6698 are 2,17,197. Prime factorization of 6698 in exponential form is:

6698 = 21×171×1971

Prime Factorization of 6704


2 6704
2 3352
2 1676
2 838
419 419
1

Prime factors of 6704 are 2,419. Prime factorization of 6704 in exponential form is:

6704 = 24×4191

∴ So by taking common prime factors GCF of 6698 and 6704 is 2

Greatest Common Factor of 6698 and 6704 by matching factors method

Factors of 6698

List of positive integer factors of 6698 that divides 6698 without a remainder.

1,2,17,34,197,394,3349,6698

Factors of 6704

List of positive integer factors of 6704 that divides 6704 without a remainder.

1,2,4,8,16,419,838,1676,3352,6704

Greatest Common Factor

We found the factors and prime factorization of 6698 and 6704. The biggest common factor number is the GCF number.
So the greatest common factor 6698 and 6704 is 2.

Also check out the Least Common Multiple of 6698 and 6704

Properties of GCF 6698 and 6704

(i) The GCF of 6698 and 6704 is associative

GCF of 6698 and 6704 = GCF of 6704 and 6698

Related Greatest Common Factor of 6698

Related Greatest Common Factor of 6704

Frequently Asked Questions on GCF of 6698 and 6704

1. What is the GCF of 6698 and 6704?

Answer: GCF of 6698 and 6704 is 2.

2. What are the Factors of 6698?

Answer: Factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698. There are 8 integers that are factors of 6698. The greatest factor of 6698 is 6698.

3. What are the Factors of 6704?

Answer: Factors of 6704 are 1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704. There are 10 integers that are factors of 6704. The greatest factor of 6704 is 6704.

4. How to Find the GCF of 6698 and 6704?

Answer:

Greatest Common Factor of 6698 and 6704 = 2

Step 1: Find the prime factorization of 6698

6698 = 2 x 17 x 197

Step 2: Find the prime factorization of 6704

6704 = 2 x 2 x 2 x 2 x 419

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 6698 and 6704 is 2