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 1852, 1855 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1852 and 1855 is 1.
GCF(1852,1855) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1852
2 | 1852 |
2 | 926 |
463 | 463 |
1 |
Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:
1852 = 22×4631
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
∴ So by taking common prime factors GCF of 1852 and 1855 is 1
Factors of 1852
List of positive integer factors of 1852 that divides 1852 without a remainder.
1,2,4,463,926,1852
Factors of 1855
List of positive integer factors of 1855 that divides 1855 without a remainder.
1,5,7,35,53,265,371,1855
Greatest Common Factor
We found the factors and prime factorization of 1852 and 1855. The biggest common factor number is the GCF number.
So the greatest common factor 1852 and 1855 is 1.
Also check out the Least Common Multiple of 1852 and 1855
(i) The GCF of 1852 and 1855 is associative
GCF of 1852 and 1855 = GCF of 1855 and 1852
1. What is the GCF of 1852 and 1855?
Answer: GCF of 1852 and 1855 is 1.
2. What are the Factors of 1852?
Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.
3. 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.
4. How to Find the GCF of 1852 and 1855?
Answer:
Greatest Common Factor of 1852 and 1855 = 1
Step 1: Find the prime factorization of 1852
1852 = 2 x 2 x 463
Step 2: Find the prime factorization of 1855
1855 = 5 x 7 x 53
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 1852 and 1855 is 1