Greatest Common Factor of 6797 and 6799

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 6797, 6799 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6797 and 6799 is 1.

GCF(6797,6799) = 1

GCF of 6797 and 6799

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

GCF of:
and

Greatest Common Factor of 6797 and 6799

GCF of 6797 and 6799 is 1

Prime Factorization of 6797


7 6797
971 971
1

Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:

6797 = 71×9711

Prime Factorization of 6799


13 6799
523 523
1

Prime factors of 6799 are 13,523. Prime factorization of 6799 in exponential form is:

6799 = 131×5231

∴ So by taking common prime factors GCF of 6797 and 6799 is 1

Greatest Common Factor of 6797 and 6799 by matching factors method

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1,7,971,6797

Factors of 6799

List of positive integer factors of 6799 that divides 6799 without a remainder.

1,13,523,6799

Greatest Common Factor

We found the factors and prime factorization of 6797 and 6799. The biggest common factor number is the GCF number.
So the greatest common factor 6797 and 6799 is 1.

Also check out the Least Common Multiple of 6797 and 6799

Properties of GCF 6797 and 6799

(i) The GCF of 6797 and 6799 is associative

GCF of 6797 and 6799 = GCF of 6799 and 6797

Frequently Asked Questions on GCF of 6797 and 6799

1. What is the GCF of 6797 and 6799?

Answer: GCF of 6797 and 6799 is 1.

2. What are the Factors of 6797?

Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.

3. What are the Factors of 6799?

Answer: Factors of 6799 are 1, 13, 523, 6799. There are 4 integers that are factors of 6799. The greatest factor of 6799 is 6799.

4. How to Find the GCF of 6797 and 6799?

Answer:

Greatest Common Factor of 6797 and 6799 = 1

Step 1: Find the prime factorization of 6797

6797 = 7 x 971

Step 2: Find the prime factorization of 6799

6799 = 13 x 523

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6797 and 6799 is 1