Greatest Common Factor of 5709 and 5711

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 5709, 5711 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5709 and 5711 is 1.

GCF(5709,5711) = 1

GCF of 5709 and 5711

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

GCF of:
and

Greatest Common Factor of 5709 and 5711

GCF of 5709 and 5711 is 1

Prime Factorization of 5709


3 5709
11 1903
173 173
1

Prime factors of 5709 are 3,11,173. Prime factorization of 5709 in exponential form is:

5709 = 31×111×1731

Prime Factorization of 5711


5711 5711
1

Prime factors of 5711 are 5711. Prime factorization of 5711 in exponential form is:

5711 = 57111

∴ So by taking common prime factors GCF of 5709 and 5711 is 1

Greatest Common Factor of 5709 and 5711 by matching factors method

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1,3,11,33,173,519,1903,5709

Factors of 5711

List of positive integer factors of 5711 that divides 5711 without a remainder.

1,5711

Greatest Common Factor

We found the factors and prime factorization of 5709 and 5711. The biggest common factor number is the GCF number.
So the greatest common factor 5709 and 5711 is 1.

Also check out the Least Common Multiple of 5709 and 5711

Properties of GCF 5709 and 5711

(i) The GCF of 5709 and 5711 is associative

GCF of 5709 and 5711 = GCF of 5711 and 5709

Related Greatest Common Factor of 5709

Related Greatest Common Factor of 5711

Frequently Asked Questions on GCF of 5709 and 5711

1. What is the GCF of 5709 and 5711?

Answer: GCF of 5709 and 5711 is 1.

2. What are the Factors of 5709?

Answer: Factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709. There are 8 integers that are factors of 5709. The greatest factor of 5709 is 5709.

3. What are the Factors of 5711?

Answer: Factors of 5711 are 1, 5711. There are 2 integers that are factors of 5711. The greatest factor of 5711 is 5711.

4. How to Find the GCF of 5709 and 5711?

Answer:

Greatest Common Factor of 5709 and 5711 = 1

Step 1: Find the prime factorization of 5709

5709 = 3 x 11 x 173

Step 2: Find the prime factorization of 5711

5711 = 5711

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 5709 and 5711 is 1