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, 1857 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1852 and 1857 is 1.
GCF(1852,1857) = 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 1857
3 | 1857 |
619 | 619 |
1 |
Prime factors of 1857 are 3,619. Prime factorization of 1857 in exponential form is:
1857 = 31×6191
∴ So by taking common prime factors GCF of 1852 and 1857 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 1857
List of positive integer factors of 1857 that divides 1857 without a remainder.
1,3,619,1857
Greatest Common Factor
We found the factors and prime factorization of 1852 and 1857. The biggest common factor number is the GCF number.
So the greatest common factor 1852 and 1857 is 1.
Also check out the Least Common Multiple of 1852 and 1857
(i) The GCF of 1852 and 1857 is associative
GCF of 1852 and 1857 = GCF of 1857 and 1852
1. What is the GCF of 1852 and 1857?
Answer: GCF of 1852 and 1857 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 1857?
Answer: Factors of 1857 are 1, 3, 619, 1857. There are 4 integers that are factors of 1857. The greatest factor of 1857 is 1857.
4. How to Find the GCF of 1852 and 1857?
Answer:
Greatest Common Factor of 1852 and 1857 = 1
Step 1: Find the prime factorization of 1852
1852 = 2 x 2 x 463
Step 2: Find the prime factorization of 1857
1857 = 3 x 619
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 1857 is 1