Greatest Common Factor of 6695 and 6703

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 6695, 6703 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6695 and 6703 is 1.

GCF(6695,6703) = 1

GCF of 6695 and 6703

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

GCF of:
and

Greatest Common Factor of 6695 and 6703

GCF of 6695 and 6703 is 1

Prime Factorization of 6695


5 6695
13 1339
103 103
1

Prime factors of 6695 are 5,13,103. Prime factorization of 6695 in exponential form is:

6695 = 51×131×1031

Prime Factorization of 6703


6703 6703
1

Prime factors of 6703 are 6703. Prime factorization of 6703 in exponential form is:

6703 = 67031

∴ So by taking common prime factors GCF of 6695 and 6703 is 1

Greatest Common Factor of 6695 and 6703 by matching factors method

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1,5,13,65,103,515,1339,6695

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1,6703

Greatest Common Factor

We found the factors and prime factorization of 6695 and 6703. The biggest common factor number is the GCF number.
So the greatest common factor 6695 and 6703 is 1.

Also check out the Least Common Multiple of 6695 and 6703

Properties of GCF 6695 and 6703

(i) The GCF of 6695 and 6703 is associative

GCF of 6695 and 6703 = GCF of 6703 and 6695

Related Greatest Common Factor of 6695

Related Greatest Common Factor of 6703

Frequently Asked Questions on GCF of 6695 and 6703

1. What is the GCF of 6695 and 6703?

Answer: GCF of 6695 and 6703 is 1.

2. What are the Factors of 6695?

Answer: Factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695. There are 8 integers that are factors of 6695. The greatest factor of 6695 is 6695.

3. What are the Factors of 6703?

Answer: Factors of 6703 are 1, 6703. There are 2 integers that are factors of 6703. The greatest factor of 6703 is 6703.

4. How to Find the GCF of 6695 and 6703?

Answer:

Greatest Common Factor of 6695 and 6703 = 1

Step 1: Find the prime factorization of 6695

6695 = 5 x 13 x 103

Step 2: Find the prime factorization of 6703

6703 = 6703

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 6695 and 6703 is 1