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 1718, 1722 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1718 and 1722 is 2.
GCF(1718,1722) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1718
2 | 1718 |
859 | 859 |
1 |
Prime factors of 1718 are 2,859. Prime factorization of 1718 in exponential form is:
1718 = 21×8591
Prime Factorization of 1722
2 | 1722 |
3 | 861 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 1722 are 2,3,7,41. Prime factorization of 1722 in exponential form is:
1722 = 21×31×71×411
∴ So by taking common prime factors GCF of 1718 and 1722 is 2
Factors of 1718
List of positive integer factors of 1718 that divides 1718 without a remainder.
1,2,859,1718
Factors of 1722
List of positive integer factors of 1722 that divides 1722 without a remainder.
1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors and prime factorization of 1718 and 1722. The biggest common factor number is the GCF number.
So the greatest common factor 1718 and 1722 is 2.
Also check out the Least Common Multiple of 1718 and 1722
(i) The GCF of 1718 and 1722 is associative
GCF of 1718 and 1722 = GCF of 1722 and 1718
1. What is the GCF of 1718 and 1722?
Answer: GCF of 1718 and 1722 is 2.
2. What are the Factors of 1718?
Answer: Factors of 1718 are 1, 2, 859, 1718. There are 4 integers that are factors of 1718. The greatest factor of 1718 is 1718.
3. What are the Factors of 1722?
Answer: Factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722. There are 16 integers that are factors of 1722. The greatest factor of 1722 is 1722.
4. How to Find the GCF of 1718 and 1722?
Answer:
Greatest Common Factor of 1718 and 1722 = 2
Step 1: Find the prime factorization of 1718
1718 = 2 x 859
Step 2: Find the prime factorization of 1722
1722 = 2 x 3 x 7 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1718 and 1722 is 2