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 1727, 1734 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1727 and 1734 is 1.
GCF(1727,1734) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1727
11 | 1727 |
157 | 157 |
1 |
Prime factors of 1727 are 11,157. Prime factorization of 1727 in exponential form is:
1727 = 111×1571
Prime Factorization of 1734
2 | 1734 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 1734 are 2,3,17. Prime factorization of 1734 in exponential form is:
1734 = 21×31×172
∴ So by taking common prime factors GCF of 1727 and 1734 is 1
Factors of 1727
List of positive integer factors of 1727 that divides 1727 without a remainder.
1,11,157,1727
Factors of 1734
List of positive integer factors of 1734 that divides 1734 without a remainder.
1,2,3,6,17,34,51,102,289,578,867,1734
Greatest Common Factor
We found the factors and prime factorization of 1727 and 1734. The biggest common factor number is the GCF number.
So the greatest common factor 1727 and 1734 is 1.
Also check out the Least Common Multiple of 1727 and 1734
(i) The GCF of 1727 and 1734 is associative
GCF of 1727 and 1734 = GCF of 1734 and 1727
1. What is the GCF of 1727 and 1734?
Answer: GCF of 1727 and 1734 is 1.
2. What are the Factors of 1727?
Answer: Factors of 1727 are 1, 11, 157, 1727. There are 4 integers that are factors of 1727. The greatest factor of 1727 is 1727.
3. What are the Factors of 1734?
Answer: Factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734. There are 12 integers that are factors of 1734. The greatest factor of 1734 is 1734.
4. How to Find the GCF of 1727 and 1734?
Answer:
Greatest Common Factor of 1727 and 1734 = 1
Step 1: Find the prime factorization of 1727
1727 = 11 x 157
Step 2: Find the prime factorization of 1734
1734 = 2 x 3 x 17 x 17
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 1727 and 1734 is 1