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 1805, 1813 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1805 and 1813 is 1.
GCF(1805,1813) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1805
5 | 1805 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:
1805 = 51×192
Prime Factorization of 1813
7 | 1813 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:
1813 = 72×371
∴ So by taking common prime factors GCF of 1805 and 1813 is 1
Factors of 1805
List of positive integer factors of 1805 that divides 1805 without a remainder.
1,5,19,95,361,1805
Factors of 1813
List of positive integer factors of 1813 that divides 1813 without a remainder.
1,7,37,49,259,1813
Greatest Common Factor
We found the factors and prime factorization of 1805 and 1813. The biggest common factor number is the GCF number.
So the greatest common factor 1805 and 1813 is 1.
Also check out the Least Common Multiple of 1805 and 1813
(i) The GCF of 1805 and 1813 is associative
GCF of 1805 and 1813 = GCF of 1813 and 1805
1. What is the GCF of 1805 and 1813?
Answer: GCF of 1805 and 1813 is 1.
2. What are the Factors of 1805?
Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.
3. What are the Factors of 1813?
Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.
4. How to Find the GCF of 1805 and 1813?
Answer:
Greatest Common Factor of 1805 and 1813 = 1
Step 1: Find the prime factorization of 1805
1805 = 5 x 19 x 19
Step 2: Find the prime factorization of 1813
1813 = 7 x 7 x 37
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 1805 and 1813 is 1