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 1813, 1817 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1813 and 1817 is 1.
GCF(1813,1817) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1817
23 | 1817 |
79 | 79 |
1 |
Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:
1817 = 231×791
∴ So by taking common prime factors GCF of 1813 and 1817 is 1
Factors of 1813
List of positive integer factors of 1813 that divides 1813 without a remainder.
1,7,37,49,259,1813
Factors of 1817
List of positive integer factors of 1817 that divides 1817 without a remainder.
1,23,79,1817
Greatest Common Factor
We found the factors and prime factorization of 1813 and 1817. The biggest common factor number is the GCF number.
So the greatest common factor 1813 and 1817 is 1.
Also check out the Least Common Multiple of 1813 and 1817
(i) The GCF of 1813 and 1817 is associative
GCF of 1813 and 1817 = GCF of 1817 and 1813
1. What is the GCF of 1813 and 1817?
Answer: GCF of 1813 and 1817 is 1.
2. 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.
3. What are the Factors of 1817?
Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.
4. How to Find the GCF of 1813 and 1817?
Answer:
Greatest Common Factor of 1813 and 1817 = 1
Step 1: Find the prime factorization of 1813
1813 = 7 x 7 x 37
Step 2: Find the prime factorization of 1817
1817 = 23 x 79
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 1813 and 1817 is 1