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 1720, 1725 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1720 and 1725 is 5.
GCF(1720,1725) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1720
2 | 1720 |
2 | 860 |
2 | 430 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 1720 are 2,5,43. Prime factorization of 1720 in exponential form is:
1720 = 23×51×431
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
∴ So by taking common prime factors GCF of 1720 and 1725 is 5
Factors of 1720
List of positive integer factors of 1720 that divides 1720 without a remainder.
1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
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
Greatest Common Factor
We found the factors and prime factorization of 1720 and 1725. The biggest common factor number is the GCF number.
So the greatest common factor 1720 and 1725 is 5.
Also check out the Least Common Multiple of 1720 and 1725
(i) The GCF of 1720 and 1725 is associative
GCF of 1720 and 1725 = GCF of 1725 and 1720
1. What is the GCF of 1720 and 1725?
Answer: GCF of 1720 and 1725 is 5.
2. What are the Factors of 1720?
Answer: Factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720. There are 16 integers that are factors of 1720. The greatest factor of 1720 is 1720.
3. 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.
4. How to Find the GCF of 1720 and 1725?
Answer:
Greatest Common Factor of 1720 and 1725 = 5
Step 1: Find the prime factorization of 1720
1720 = 2 x 2 x 2 x 5 x 43
Step 2: Find the prime factorization of 1725
1725 = 3 x 5 x 5 x 23
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 1720 and 1725 is 5