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, 1890 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1887 and 1890 is 3.
GCF(1887,1890) = 3
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 1890
2 | 1890 |
3 | 945 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1890 are 2,3,5,7. Prime factorization of 1890 in exponential form is:
1890 = 21×33×51×71
∴ So by taking common prime factors GCF of 1887 and 1890 is 3
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 1890
List of positive integer factors of 1890 that divides 1890 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Greatest Common Factor
We found the factors and prime factorization of 1887 and 1890. The biggest common factor number is the GCF number.
So the greatest common factor 1887 and 1890 is 3.
Also check out the Least Common Multiple of 1887 and 1890
(i) The GCF of 1887 and 1890 is associative
GCF of 1887 and 1890 = GCF of 1890 and 1887
1. What is the GCF of 1887 and 1890?
Answer: GCF of 1887 and 1890 is 3.
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 1890?
Answer: Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890. There are 32 integers that are factors of 1890. The greatest factor of 1890 is 1890.
4. How to Find the GCF of 1887 and 1890?
Answer:
Greatest Common Factor of 1887 and 1890 = 3
Step 1: Find the prime factorization of 1887
1887 = 3 x 17 x 37
Step 2: Find the prime factorization of 1890
1890 = 2 x 3 x 3 x 3 x 5 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1887 and 1890 is 3