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, 5714 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5709 and 5714 is 1.
GCF(5709,5714) = 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 5714
2 | 5714 |
2857 | 2857 |
1 |
Prime factors of 5714 are 2,2857. Prime factorization of 5714 in exponential form is:
5714 = 21×28571
∴ So by taking common prime factors GCF of 5709 and 5714 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 5714
List of positive integer factors of 5714 that divides 5714 without a remainder.
1,2,2857,5714
Greatest Common Factor
We found the factors and prime factorization of 5709 and 5714. The biggest common factor number is the GCF number.
So the greatest common factor 5709 and 5714 is 1.
Also check out the Least Common Multiple of 5709 and 5714
(i) The GCF of 5709 and 5714 is associative
GCF of 5709 and 5714 = GCF of 5714 and 5709
1. What is the GCF of 5709 and 5714?
Answer: GCF of 5709 and 5714 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 5714?
Answer: Factors of 5714 are 1, 2, 2857, 5714. There are 4 integers that are factors of 5714. The greatest factor of 5714 is 5714.
4. How to Find the GCF of 5709 and 5714?
Answer:
Greatest Common Factor of 5709 and 5714 = 1
Step 1: Find the prime factorization of 5709
5709 = 3 x 11 x 173
Step 2: Find the prime factorization of 5714
5714 = 2 x 2857
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 5714 is 1