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 1903, 1904 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1903 and 1904 is 1.
GCF(1903,1904) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1903
11 | 1903 |
173 | 173 |
1 |
Prime factors of 1903 are 11,173. Prime factorization of 1903 in exponential form is:
1903 = 111×1731
Prime Factorization of 1904
2 | 1904 |
2 | 952 |
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 1904 are 2,7,17. Prime factorization of 1904 in exponential form is:
1904 = 24×71×171
∴ So by taking common prime factors GCF of 1903 and 1904 is 1
Factors of 1903
List of positive integer factors of 1903 that divides 1903 without a remainder.
1,11,173,1903
Factors of 1904
List of positive integer factors of 1904 that divides 1904 without a remainder.
1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
Greatest Common Factor
We found the factors and prime factorization of 1903 and 1904. The biggest common factor number is the GCF number.
So the greatest common factor 1903 and 1904 is 1.
Also check out the Least Common Multiple of 1903 and 1904
(i) The GCF of 1903 and 1904 is associative
GCF of 1903 and 1904 = GCF of 1904 and 1903
1. What is the GCF of 1903 and 1904?
Answer: GCF of 1903 and 1904 is 1.
2. What are the Factors of 1903?
Answer: Factors of 1903 are 1, 11, 173, 1903. There are 4 integers that are factors of 1903. The greatest factor of 1903 is 1903.
3. What are the Factors of 1904?
Answer: Factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904. There are 20 integers that are factors of 1904. The greatest factor of 1904 is 1904.
4. How to Find the GCF of 1903 and 1904?
Answer:
Greatest Common Factor of 1903 and 1904 = 1
Step 1: Find the prime factorization of 1903
1903 = 11 x 173
Step 2: Find the prime factorization of 1904
1904 = 2 x 2 x 2 x 2 x 7 x 17
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 1903 and 1904 is 1