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 5721, 5725 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5721 and 5725 is 1.
GCF(5721,5725) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5721
3 | 5721 |
1907 | 1907 |
1 |
Prime factors of 5721 are 3,1907. Prime factorization of 5721 in exponential form is:
5721 = 31×19071
Prime Factorization of 5725
5 | 5725 |
5 | 1145 |
229 | 229 |
1 |
Prime factors of 5725 are 5,229. Prime factorization of 5725 in exponential form is:
5725 = 52×2291
∴ So by taking common prime factors GCF of 5721 and 5725 is 1
Factors of 5721
List of positive integer factors of 5721 that divides 5721 without a remainder.
1,3,1907,5721
Factors of 5725
List of positive integer factors of 5725 that divides 5725 without a remainder.
1,5,25,229,1145,5725
Greatest Common Factor
We found the factors and prime factorization of 5721 and 5725. The biggest common factor number is the GCF number.
So the greatest common factor 5721 and 5725 is 1.
Also check out the Least Common Multiple of 5721 and 5725
(i) The GCF of 5721 and 5725 is associative
GCF of 5721 and 5725 = GCF of 5725 and 5721
1. What is the GCF of 5721 and 5725?
Answer: GCF of 5721 and 5725 is 1.
2. What are the Factors of 5721?
Answer: Factors of 5721 are 1, 3, 1907, 5721. There are 4 integers that are factors of 5721. The greatest factor of 5721 is 5721.
3. What are the Factors of 5725?
Answer: Factors of 5725 are 1, 5, 25, 229, 1145, 5725. There are 6 integers that are factors of 5725. The greatest factor of 5725 is 5725.
4. How to Find the GCF of 5721 and 5725?
Answer:
Greatest Common Factor of 5721 and 5725 = 1
Step 1: Find the prime factorization of 5721
5721 = 3 x 1907
Step 2: Find the prime factorization of 5725
5725 = 5 x 5 x 229
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 5721 and 5725 is 1