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, 1719 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1713 and 1719 is 3.
GCF(1713,1719) = 3
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 1719
3 | 1719 |
3 | 573 |
191 | 191 |
1 |
Prime factors of 1719 are 3,191. Prime factorization of 1719 in exponential form is:
1719 = 32×1911
∴ So by taking common prime factors GCF of 1713 and 1719 is 3
Factors of 1713
List of positive integer factors of 1713 that divides 1713 without a remainder.
1,3,571,1713
Factors of 1719
List of positive integer factors of 1719 that divides 1719 without a remainder.
1,3,9,191,573,1719
Greatest Common Factor
We found the factors and prime factorization of 1713 and 1719. The biggest common factor number is the GCF number.
So the greatest common factor 1713 and 1719 is 3.
Also check out the Least Common Multiple of 1713 and 1719
(i) The GCF of 1713 and 1719 is associative
GCF of 1713 and 1719 = GCF of 1719 and 1713
1. What is the GCF of 1713 and 1719?
Answer: GCF of 1713 and 1719 is 3.
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 1719?
Answer: Factors of 1719 are 1, 3, 9, 191, 573, 1719. There are 6 integers that are factors of 1719. The greatest factor of 1719 is 1719.
4. How to Find the GCF of 1713 and 1719?
Answer:
Greatest Common Factor of 1713 and 1719 = 3
Step 1: Find the prime factorization of 1713
1713 = 3 x 571
Step 2: Find the prime factorization of 1719
1719 = 3 x 3 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1713 and 1719 is 3