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 1887, 1889 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1887 and 1889 is 1.
GCF(1887,1889) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1887
3 | 1887 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 1887 are 3,17,37. Prime factorization of 1887 in exponential form is:
1887 = 31×171×371
Prime Factorization of 1889
1889 | 1889 |
1 |
Prime factors of 1889 are 1889. Prime factorization of 1889 in exponential form is:
1889 = 18891
∴ So by taking common prime factors GCF of 1887 and 1889 is 1
Factors of 1887
List of positive integer factors of 1887 that divides 1887 without a remainder.
1,3,17,37,51,111,629,1887
Factors of 1889
List of positive integer factors of 1889 that divides 1889 without a remainder.
1,1889
Greatest Common Factor
We found the factors and prime factorization of 1887 and 1889. The biggest common factor number is the GCF number.
So the greatest common factor 1887 and 1889 is 1.
Also check out the Least Common Multiple of 1887 and 1889
(i) The GCF of 1887 and 1889 is associative
GCF of 1887 and 1889 = GCF of 1889 and 1887
1. What is the GCF of 1887 and 1889?
Answer: GCF of 1887 and 1889 is 1.
2. What are the Factors of 1887?
Answer: Factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887. There are 8 integers that are factors of 1887. The greatest factor of 1887 is 1887.
3. What are the Factors of 1889?
Answer: Factors of 1889 are 1, 1889. There are 2 integers that are factors of 1889. The greatest factor of 1889 is 1889.
4. How to Find the GCF of 1887 and 1889?
Answer:
Greatest Common Factor of 1887 and 1889 = 1
Step 1: Find the prime factorization of 1887
1887 = 3 x 17 x 37
Step 2: Find the prime factorization of 1889
1889 = 1889
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 1887 and 1889 is 1