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, 5717 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5709 and 5717 is 1.
GCF(5709,5717) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 5717
5717 | 5717 |
1 |
Prime factors of 5717 are 5717. Prime factorization of 5717 in exponential form is:
5717 = 57171
∴ So by taking common prime factors GCF of 5709 and 5717 is 1
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 5717
List of positive integer factors of 5717 that divides 5717 without a remainder.
1,5717
Greatest Common Factor
We found the factors and prime factorization of 5709 and 5717. The biggest common factor number is the GCF number.
So the greatest common factor 5709 and 5717 is 1.
Also check out the Least Common Multiple of 5709 and 5717
(i) The GCF of 5709 and 5717 is associative
GCF of 5709 and 5717 = GCF of 5717 and 5709
1. What is the GCF of 5709 and 5717?
Answer: GCF of 5709 and 5717 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 5717?
Answer: Factors of 5717 are 1, 5717. There are 2 integers that are factors of 5717. The greatest factor of 5717 is 5717.
4. How to Find the GCF of 5709 and 5717?
Answer:
Greatest Common Factor of 5709 and 5717 = 1
Step 1: Find the prime factorization of 5709
5709 = 3 x 11 x 173
Step 2: Find the prime factorization of 5717
5717 = 5717
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 5717 is 1