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 5723, 5726 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5723 and 5726 is 1.
GCF(5723,5726) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5723
59 | 5723 |
97 | 97 |
1 |
Prime factors of 5723 are 59,97. Prime factorization of 5723 in exponential form is:
5723 = 591×971
Prime Factorization of 5726
2 | 5726 |
7 | 2863 |
409 | 409 |
1 |
Prime factors of 5726 are 2,7,409. Prime factorization of 5726 in exponential form is:
5726 = 21×71×4091
∴ So by taking common prime factors GCF of 5723 and 5726 is 1
Factors of 5723
List of positive integer factors of 5723 that divides 5723 without a remainder.
1,59,97,5723
Factors of 5726
List of positive integer factors of 5726 that divides 5726 without a remainder.
1,2,7,14,409,818,2863,5726
Greatest Common Factor
We found the factors and prime factorization of 5723 and 5726. The biggest common factor number is the GCF number.
So the greatest common factor 5723 and 5726 is 1.
Also check out the Least Common Multiple of 5723 and 5726
(i) The GCF of 5723 and 5726 is associative
GCF of 5723 and 5726 = GCF of 5726 and 5723
1. What is the GCF of 5723 and 5726?
Answer: GCF of 5723 and 5726 is 1.
2. What are the Factors of 5723?
Answer: Factors of 5723 are 1, 59, 97, 5723. There are 4 integers that are factors of 5723. The greatest factor of 5723 is 5723.
3. What are the Factors of 5726?
Answer: Factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726. There are 8 integers that are factors of 5726. The greatest factor of 5726 is 5726.
4. How to Find the GCF of 5723 and 5726?
Answer:
Greatest Common Factor of 5723 and 5726 = 1
Step 1: Find the prime factorization of 5723
5723 = 59 x 97
Step 2: Find the prime factorization of 5726
5726 = 2 x 7 x 409
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 5723 and 5726 is 1