Greatest Common Factor of 2709 and 2711

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 2709, 2711 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2709 and 2711 is 1.

GCF(2709,2711) = 1

GCF of 2709 and 2711

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

GCF of:
and

Greatest Common Factor of 2709 and 2711

GCF of 2709 and 2711 is 1

Prime Factorization of 2709


3 2709
3 903
7 301
43 43
1

Prime factors of 2709 are 3,7,43. Prime factorization of 2709 in exponential form is:

2709 = 32×71×431

Prime Factorization of 2711


2711 2711
1

Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:

2711 = 27111

∴ So by taking common prime factors GCF of 2709 and 2711 is 1

Greatest Common Factor of 2709 and 2711 by matching factors method

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Factors of 2711

List of positive integer factors of 2711 that divides 2711 without a remainder.

1,2711

Greatest Common Factor

We found the factors and prime factorization of 2709 and 2711. The biggest common factor number is the GCF number.
So the greatest common factor 2709 and 2711 is 1.

Also check out the Least Common Multiple of 2709 and 2711

Properties of GCF 2709 and 2711

(i) The GCF of 2709 and 2711 is associative

GCF of 2709 and 2711 = GCF of 2711 and 2709

Related Greatest Common Factor of 2709

Related Greatest Common Factor of 2711

Frequently Asked Questions on GCF of 2709 and 2711

1. What is the GCF of 2709 and 2711?

Answer: GCF of 2709 and 2711 is 1.

2. What are the Factors of 2709?

Answer: Factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709. There are 12 integers that are factors of 2709. The greatest factor of 2709 is 2709.

3. What are the Factors of 2711?

Answer: Factors of 2711 are 1, 2711. There are 2 integers that are factors of 2711. The greatest factor of 2711 is 2711.

4. How to Find the GCF of 2709 and 2711?

Answer:

Greatest Common Factor of 2709 and 2711 = 1

Step 1: Find the prime factorization of 2709

2709 = 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 2711

2711 = 2711

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 2709 and 2711 is 1