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 1809, 1810 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1809 and 1810 is 1.
GCF(1809,1810) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1809
3 | 1809 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 1809 are 3,67. Prime factorization of 1809 in exponential form is:
1809 = 33×671
Prime Factorization of 1810
2 | 1810 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 1810 are 2,5,181. Prime factorization of 1810 in exponential form is:
1810 = 21×51×1811
∴ So by taking common prime factors GCF of 1809 and 1810 is 1
Factors of 1809
List of positive integer factors of 1809 that divides 1809 without a remainder.
1,3,9,27,67,201,603,1809
Factors of 1810
List of positive integer factors of 1810 that divides 1810 without a remainder.
1,2,5,10,181,362,905,1810
Greatest Common Factor
We found the factors and prime factorization of 1809 and 1810. The biggest common factor number is the GCF number.
So the greatest common factor 1809 and 1810 is 1.
Also check out the Least Common Multiple of 1809 and 1810
(i) The GCF of 1809 and 1810 is associative
GCF of 1809 and 1810 = GCF of 1810 and 1809
1. What is the GCF of 1809 and 1810?
Answer: GCF of 1809 and 1810 is 1.
2. What are the Factors of 1809?
Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.
3. What are the Factors of 1810?
Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.
4. How to Find the GCF of 1809 and 1810?
Answer:
Greatest Common Factor of 1809 and 1810 = 1
Step 1: Find the prime factorization of 1809
1809 = 3 x 3 x 3 x 67
Step 2: Find the prime factorization of 1810
1810 = 2 x 5 x 181
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 1809 and 1810 is 1