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 1855, 1863 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1855 and 1863 is 1.
GCF(1855,1863) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1855
5 | 1855 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 1855 are 5,7,53. Prime factorization of 1855 in exponential form is:
1855 = 51×71×531
Prime Factorization of 1863
3 | 1863 |
3 | 621 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 1863 are 3,23. Prime factorization of 1863 in exponential form is:
1863 = 34×231
∴ So by taking common prime factors GCF of 1855 and 1863 is 1
Factors of 1855
List of positive integer factors of 1855 that divides 1855 without a remainder.
1,5,7,35,53,265,371,1855
Factors of 1863
List of positive integer factors of 1863 that divides 1863 without a remainder.
1,3,9,23,27,69,81,207,621,1863
Greatest Common Factor
We found the factors and prime factorization of 1855 and 1863. The biggest common factor number is the GCF number.
So the greatest common factor 1855 and 1863 is 1.
Also check out the Least Common Multiple of 1855 and 1863
(i) The GCF of 1855 and 1863 is associative
GCF of 1855 and 1863 = GCF of 1863 and 1855
1. What is the GCF of 1855 and 1863?
Answer: GCF of 1855 and 1863 is 1.
2. What are the Factors of 1855?
Answer: Factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855. There are 8 integers that are factors of 1855. The greatest factor of 1855 is 1855.
3. What are the Factors of 1863?
Answer: Factors of 1863 are 1, 3, 9, 23, 27, 69, 81, 207, 621, 1863. There are 10 integers that are factors of 1863. The greatest factor of 1863 is 1863.
4. How to Find the GCF of 1855 and 1863?
Answer:
Greatest Common Factor of 1855 and 1863 = 1
Step 1: Find the prime factorization of 1855
1855 = 5 x 7 x 53
Step 2: Find the prime factorization of 1863
1863 = 3 x 3 x 3 x 3 x 23
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 1855 and 1863 is 1