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 1713, 1721 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1713 and 1721 is 1.
GCF(1713,1721) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1713
3 | 1713 |
571 | 571 |
1 |
Prime factors of 1713 are 3,571. Prime factorization of 1713 in exponential form is:
1713 = 31×5711
Prime Factorization of 1721
1721 | 1721 |
1 |
Prime factors of 1721 are 1721. Prime factorization of 1721 in exponential form is:
1721 = 17211
∴ So by taking common prime factors GCF of 1713 and 1721 is 1
Factors of 1713
List of positive integer factors of 1713 that divides 1713 without a remainder.
1,3,571,1713
Factors of 1721
List of positive integer factors of 1721 that divides 1721 without a remainder.
1,1721
Greatest Common Factor
We found the factors and prime factorization of 1713 and 1721. The biggest common factor number is the GCF number.
So the greatest common factor 1713 and 1721 is 1.
Also check out the Least Common Multiple of 1713 and 1721
(i) The GCF of 1713 and 1721 is associative
GCF of 1713 and 1721 = GCF of 1721 and 1713
1. What is the GCF of 1713 and 1721?
Answer: GCF of 1713 and 1721 is 1.
2. What are the Factors of 1713?
Answer: Factors of 1713 are 1, 3, 571, 1713. There are 4 integers that are factors of 1713. The greatest factor of 1713 is 1713.
3. What are the Factors of 1721?
Answer: Factors of 1721 are 1, 1721. There are 2 integers that are factors of 1721. The greatest factor of 1721 is 1721.
4. How to Find the GCF of 1713 and 1721?
Answer:
Greatest Common Factor of 1713 and 1721 = 1
Step 1: Find the prime factorization of 1713
1713 = 3 x 571
Step 2: Find the prime factorization of 1721
1721 = 1721
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 1713 and 1721 is 1