Greatest Common Factor of 6707 and 6709

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 6707, 6709 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6707 and 6709 is 1.

GCF(6707,6709) = 1

GCF of 6707 and 6709

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

GCF of:
and

Greatest Common Factor of 6707 and 6709

GCF of 6707 and 6709 is 1

Prime Factorization of 6707


19 6707
353 353
1

Prime factors of 6707 are 19,353. Prime factorization of 6707 in exponential form is:

6707 = 191×3531

Prime Factorization of 6709


6709 6709
1

Prime factors of 6709 are 6709. Prime factorization of 6709 in exponential form is:

6709 = 67091

∴ So by taking common prime factors GCF of 6707 and 6709 is 1

Greatest Common Factor of 6707 and 6709 by matching factors method

Factors of 6707

List of positive integer factors of 6707 that divides 6707 without a remainder.

1,19,353,6707

Factors of 6709

List of positive integer factors of 6709 that divides 6709 without a remainder.

1,6709

Greatest Common Factor

We found the factors and prime factorization of 6707 and 6709. The biggest common factor number is the GCF number.
So the greatest common factor 6707 and 6709 is 1.

Also check out the Least Common Multiple of 6707 and 6709

Properties of GCF 6707 and 6709

(i) The GCF of 6707 and 6709 is associative

GCF of 6707 and 6709 = GCF of 6709 and 6707

Frequently Asked Questions on GCF of 6707 and 6709

1. What is the GCF of 6707 and 6709?

Answer: GCF of 6707 and 6709 is 1.

2. What are the Factors of 6707?

Answer: Factors of 6707 are 1, 19, 353, 6707. There are 4 integers that are factors of 6707. The greatest factor of 6707 is 6707.

3. What are the Factors of 6709?

Answer: Factors of 6709 are 1, 6709. There are 2 integers that are factors of 6709. The greatest factor of 6709 is 6709.

4. How to Find the GCF of 6707 and 6709?

Answer:

Greatest Common Factor of 6707 and 6709 = 1

Step 1: Find the prime factorization of 6707

6707 = 19 x 353

Step 2: Find the prime factorization of 6709

6709 = 6709

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 6707 and 6709 is 1