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 1723, 1726 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1723 and 1726 is 1.
GCF(1723,1726) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1723
1723 | 1723 |
1 |
Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:
1723 = 17231
Prime Factorization of 1726
2 | 1726 |
863 | 863 |
1 |
Prime factors of 1726 are 2.Prime factorization of 1726 in exponential form is:
1726 = 21×8631
∴ So by taking common prime factors GCF of 1723 and 1726 is 1
Factors of 1723
List of positive integer factors of 1723 that divides 1723 without a remainder.
1,1723
Factors of 1726
List of positive integer factors of 1726 that divides 1726 without a remainder.
1,2,863,1726
Greatest Common Factor
We found the factors and prime factorization of 1723 and 1726. The biggest common factor number is the GCF number.
So the greatest common factor 1723 and 1726 is 1.
Also check out the Least Common Multiple of 1723 and 1726
(i) The GCF of 1723 and 1726 is associative
GCF of 1723 and 1726 = GCF of 1726 and 1723
1. What is the GCF of 1723 and 1726?
Answer: GCF of 1723 and 1726 is 1.
2. What are the Factors of 1723?
Answer: Factors of 1723 are 1, 1723. There are 2 integers that are factors of 1723. The greatest factor of 1723 is 1723.
3. What are the Factors of 1726?
Answer: Factors of 1726 are 1, 2, 863, 1726. There are 4 integers that are factors of 1726. The greatest factor of 1726 is 1726.
4. How to Find the GCF of 1723 and 1726?
Answer:
Greatest Common Factor of 1723 and 1726 = 1
Step 1: Find the prime factorization of 1723
1723 = 1723
Step 2: Find the prime factorization of 1726
1726 = 2 x 863
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 1723 and 1726 is 1