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 5705, 5711 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5705 and 5711 is 1.
GCF(5705,5711) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5705
5 | 5705 |
7 | 1141 |
163 | 163 |
1 |
Prime factors of 5705 are 5,7,163. Prime factorization of 5705 in exponential form is:
5705 = 51×71×1631
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 5705 and 5711 is 1
Factors of 5705
List of positive integer factors of 5705 that divides 5705 without a remainder.
1,5,7,35,163,815,1141,5705
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 5705 and 5711. The biggest common factor number is the GCF number.
So the greatest common factor 5705 and 5711 is 1.
Also check out the Least Common Multiple of 5705 and 5711
(i) The GCF of 5705 and 5711 is associative
GCF of 5705 and 5711 = GCF of 5711 and 5705
1. What is the GCF of 5705 and 5711?
Answer: GCF of 5705 and 5711 is 1.
2. What are the Factors of 5705?
Answer: Factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705. There are 8 integers that are factors of 5705. The greatest factor of 5705 is 5705.
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 5705 and 5711?
Answer:
Greatest Common Factor of 5705 and 5711 = 1
Step 1: Find the prime factorization of 5705
5705 = 5 x 7 x 163
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 5705 and 5711 is 1