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 1893, 1899 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1893 and 1899 is 3.
GCF(1893,1899) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1893
3 | 1893 |
631 | 631 |
1 |
Prime factors of 1893 are 3,631. Prime factorization of 1893 in exponential form is:
1893 = 31×6311
Prime Factorization of 1899
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 1899 are 3,211. Prime factorization of 1899 in exponential form is:
1899 = 32×2111
∴ So by taking common prime factors GCF of 1893 and 1899 is 3
Factors of 1893
List of positive integer factors of 1893 that divides 1893 without a remainder.
1,3,631,1893
Factors of 1899
List of positive integer factors of 1899 that divides 1899 without a remainder.
1,3,9,211,633,1899
Greatest Common Factor
We found the factors and prime factorization of 1893 and 1899. The biggest common factor number is the GCF number.
So the greatest common factor 1893 and 1899 is 3.
Also check out the Least Common Multiple of 1893 and 1899
(i) The GCF of 1893 and 1899 is associative
GCF of 1893 and 1899 = GCF of 1899 and 1893
1. What is the GCF of 1893 and 1899?
Answer: GCF of 1893 and 1899 is 3.
2. What are the Factors of 1893?
Answer: Factors of 1893 are 1, 3, 631, 1893. There are 4 integers that are factors of 1893. The greatest factor of 1893 is 1893.
3. What are the Factors of 1899?
Answer: Factors of 1899 are 1, 3, 9, 211, 633, 1899. There are 6 integers that are factors of 1899. The greatest factor of 1899 is 1899.
4. How to Find the GCF of 1893 and 1899?
Answer:
Greatest Common Factor of 1893 and 1899 = 3
Step 1: Find the prime factorization of 1893
1893 = 3 x 631
Step 2: Find the prime factorization of 1899
1899 = 3 x 3 x 211
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 1893 and 1899 is 3