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 1711, 1714 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1711 and 1714 is 1.
GCF(1711,1714) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1711
29 | 1711 |
59 | 59 |
1 |
Prime factors of 1711 are 29,59. Prime factorization of 1711 in exponential form is:
1711 = 291×591
Prime Factorization of 1714
2 | 1714 |
857 | 857 |
1 |
Prime factors of 1714 are 2,857. Prime factorization of 1714 in exponential form is:
1714 = 21×8571
∴ So by taking common prime factors GCF of 1711 and 1714 is 1
Factors of 1711
List of positive integer factors of 1711 that divides 1711 without a remainder.
1,29,59,1711
Factors of 1714
List of positive integer factors of 1714 that divides 1714 without a remainder.
1,2,857,1714
Greatest Common Factor
We found the factors and prime factorization of 1711 and 1714. The biggest common factor number is the GCF number.
So the greatest common factor 1711 and 1714 is 1.
Also check out the Least Common Multiple of 1711 and 1714
(i) The GCF of 1711 and 1714 is associative
GCF of 1711 and 1714 = GCF of 1714 and 1711
1. What is the GCF of 1711 and 1714?
Answer: GCF of 1711 and 1714 is 1.
2. What are the Factors of 1711?
Answer: Factors of 1711 are 1, 29, 59, 1711. There are 4 integers that are factors of 1711. The greatest factor of 1711 is 1711.
3. What are the Factors of 1714?
Answer: Factors of 1714 are 1, 2, 857, 1714. There are 4 integers that are factors of 1714. The greatest factor of 1714 is 1714.
4. How to Find the GCF of 1711 and 1714?
Answer:
Greatest Common Factor of 1711 and 1714 = 1
Step 1: Find the prime factorization of 1711
1711 = 29 x 59
Step 2: Find the prime factorization of 1714
1714 = 2 x 857
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 1711 and 1714 is 1