Greatest Common Factor of 6709 and 6712

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 6709, 6712 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6709 and 6712 is 1.

GCF(6709,6712) = 1

GCF of 6709 and 6712

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

GCF of:
and

Greatest Common Factor of 6709 and 6712

GCF of 6709 and 6712 is 1

Prime Factorization of 6709


6709 6709
1

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

6709 = 67091

Prime Factorization of 6712


2 6712
2 3356
2 1678
839 839
1

Prime factors of 6712 are 2.Prime factorization of 6712 in exponential form is:

6712 = 23×8391

∴ So by taking common prime factors GCF of 6709 and 6712 is 1

Greatest Common Factor of 6709 and 6712 by matching factors method

Factors of 6709

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

1,6709

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1,2,4,8,839,1678,3356,6712

Greatest Common Factor

We found the factors and prime factorization of 6709 and 6712. The biggest common factor number is the GCF number.
So the greatest common factor 6709 and 6712 is 1.

Also check out the Least Common Multiple of 6709 and 6712

Properties of GCF 6709 and 6712

(i) The GCF of 6709 and 6712 is associative

GCF of 6709 and 6712 = GCF of 6712 and 6709

Related Greatest Common Factor of 6709

Related Greatest Common Factor of 6712

Frequently Asked Questions on GCF of 6709 and 6712

1. What is the GCF of 6709 and 6712?

Answer: GCF of 6709 and 6712 is 1.

2. 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.

3. What are the Factors of 6712?

Answer: Factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712. There are 8 integers that are factors of 6712. The greatest factor of 6712 is 6712.

4. How to Find the GCF of 6709 and 6712?

Answer:

Greatest Common Factor of 6709 and 6712 = 1

Step 1: Find the prime factorization of 6709

6709 = 6709

Step 2: Find the prime factorization of 6712

6712 = 2 x 2 x 2 x 839

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 6709 and 6712 is 1