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 1732, 1734 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1732 and 1734 is 2.
GCF(1732,1734) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1732
2 | 1732 |
2 | 866 |
433 | 433 |
1 |
Prime factors of 1732 are 2,433. Prime factorization of 1732 in exponential form is:
1732 = 22×4331
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 1732 and 1734 is 2
Factors of 1732
List of positive integer factors of 1732 that divides 1732 without a remainder.
1,2,4,433,866,1732
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 1732 and 1734. The biggest common factor number is the GCF number.
So the greatest common factor 1732 and 1734 is 2.
Also check out the Least Common Multiple of 1732 and 1734
(i) The GCF of 1732 and 1734 is associative
GCF of 1732 and 1734 = GCF of 1734 and 1732
1. What is the GCF of 1732 and 1734?
Answer: GCF of 1732 and 1734 is 2.
2. What are the Factors of 1732?
Answer: Factors of 1732 are 1, 2, 4, 433, 866, 1732. There are 6 integers that are factors of 1732. The greatest factor of 1732 is 1732.
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 1732 and 1734?
Answer:
Greatest Common Factor of 1732 and 1734 = 2
Step 1: Find the prime factorization of 1732
1732 = 2 x 2 x 433
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 = 2
Step 4: Therefore, the greatest common factor of 1732 and 1734 is 2