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 1725, 1732 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1725 and 1732 is 1.
GCF(1725,1732) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1725
3 | 1725 |
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 1725 are 3,5,23. Prime factorization of 1725 in exponential form is:
1725 = 31×52×231
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
∴ So by taking common prime factors GCF of 1725 and 1732 is 1
Factors of 1725
List of positive integer factors of 1725 that divides 1725 without a remainder.
1,3,5,15,23,25,69,75,115,345,575,1725
Factors of 1732
List of positive integer factors of 1732 that divides 1732 without a remainder.
1,2,4,433,866,1732
Greatest Common Factor
We found the factors and prime factorization of 1725 and 1732. The biggest common factor number is the GCF number.
So the greatest common factor 1725 and 1732 is 1.
Also check out the Least Common Multiple of 1725 and 1732
(i) The GCF of 1725 and 1732 is associative
GCF of 1725 and 1732 = GCF of 1732 and 1725
1. What is the GCF of 1725 and 1732?
Answer: GCF of 1725 and 1732 is 1.
2. What are the Factors of 1725?
Answer: Factors of 1725 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725. There are 12 integers that are factors of 1725. The greatest factor of 1725 is 1725.
3. 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.
4. How to Find the GCF of 1725 and 1732?
Answer:
Greatest Common Factor of 1725 and 1732 = 1
Step 1: Find the prime factorization of 1725
1725 = 3 x 5 x 5 x 23
Step 2: Find the prime factorization of 1732
1732 = 2 x 2 x 433
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 1725 and 1732 is 1