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, 1896 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1893 and 1896 is 3.
GCF(1893,1896) = 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 1896
2 | 1896 |
2 | 948 |
2 | 474 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 1896 are 2,3,79. Prime factorization of 1896 in exponential form is:
1896 = 23×31×791
∴ So by taking common prime factors GCF of 1893 and 1896 is 3
Factors of 1893
List of positive integer factors of 1893 that divides 1893 without a remainder.
1,3,631,1893
Factors of 1896
List of positive integer factors of 1896 that divides 1896 without a remainder.
1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors and prime factorization of 1893 and 1896. The biggest common factor number is the GCF number.
So the greatest common factor 1893 and 1896 is 3.
Also check out the Least Common Multiple of 1893 and 1896
(i) The GCF of 1893 and 1896 is associative
GCF of 1893 and 1896 = GCF of 1896 and 1893
1. What is the GCF of 1893 and 1896?
Answer: GCF of 1893 and 1896 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 1896?
Answer: Factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896. There are 16 integers that are factors of 1896. The greatest factor of 1896 is 1896.
4. How to Find the GCF of 1893 and 1896?
Answer:
Greatest Common Factor of 1893 and 1896 = 3
Step 1: Find the prime factorization of 1893
1893 = 3 x 631
Step 2: Find the prime factorization of 1896
1896 = 2 x 2 x 2 x 3 x 79
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 1896 is 3