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 1734, 1737 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1734 and 1737 is 3.
GCF(1734,1737) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1737
3 | 1737 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:
1737 = 32×1931
∴ So by taking common prime factors GCF of 1734 and 1737 is 3
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
Factors of 1737
List of positive integer factors of 1737 that divides 1737 without a remainder.
1,3,9,193,579,1737
Greatest Common Factor
We found the factors and prime factorization of 1734 and 1737. The biggest common factor number is the GCF number.
So the greatest common factor 1734 and 1737 is 3.
Also check out the Least Common Multiple of 1734 and 1737
(i) The GCF of 1734 and 1737 is associative
GCF of 1734 and 1737 = GCF of 1737 and 1734
1. What is the GCF of 1734 and 1737?
Answer: GCF of 1734 and 1737 is 3.
2. 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.
3. What are the Factors of 1737?
Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.
4. How to Find the GCF of 1734 and 1737?
Answer:
Greatest Common Factor of 1734 and 1737 = 3
Step 1: Find the prime factorization of 1734
1734 = 2 x 3 x 17 x 17
Step 2: Find the prime factorization of 1737
1737 = 3 x 3 x 193
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1734 and 1737 is 3