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 1730, 1735 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1730 and 1735 is 5.
GCF(1730,1735) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1730
2 | 1730 |
5 | 865 |
173 | 173 |
1 |
Prime factors of 1730 are 2,5,173. Prime factorization of 1730 in exponential form is:
1730 = 21×51×1731
Prime Factorization of 1735
5 | 1735 |
347 | 347 |
1 |
Prime factors of 1735 are 5,347. Prime factorization of 1735 in exponential form is:
1735 = 51×3471
∴ So by taking common prime factors GCF of 1730 and 1735 is 5
Factors of 1730
List of positive integer factors of 1730 that divides 1730 without a remainder.
1,2,5,10,173,346,865,1730
Factors of 1735
List of positive integer factors of 1735 that divides 1735 without a remainder.
1,5,347,1735
Greatest Common Factor
We found the factors and prime factorization of 1730 and 1735. The biggest common factor number is the GCF number.
So the greatest common factor 1730 and 1735 is 5.
Also check out the Least Common Multiple of 1730 and 1735
(i) The GCF of 1730 and 1735 is associative
GCF of 1730 and 1735 = GCF of 1735 and 1730
1. What is the GCF of 1730 and 1735?
Answer: GCF of 1730 and 1735 is 5.
2. What are the Factors of 1730?
Answer: Factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730. There are 8 integers that are factors of 1730. The greatest factor of 1730 is 1730.
3. What are the Factors of 1735?
Answer: Factors of 1735 are 1, 5, 347, 1735. There are 4 integers that are factors of 1735. The greatest factor of 1735 is 1735.
4. How to Find the GCF of 1730 and 1735?
Answer:
Greatest Common Factor of 1730 and 1735 = 5
Step 1: Find the prime factorization of 1730
1730 = 2 x 5 x 173
Step 2: Find the prime factorization of 1735
1735 = 5 x 347
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1730 and 1735 is 5