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 1902, 1904 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1902 and 1904 is 2.
GCF(1902,1904) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1902
2 | 1902 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 1902 are 2,3,317. Prime factorization of 1902 in exponential form is:
1902 = 21×31×3171
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 1902 and 1904 is 2
Factors of 1902
List of positive integer factors of 1902 that divides 1902 without a remainder.
1,2,3,6,317,634,951,1902
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 1902 and 1904. The biggest common factor number is the GCF number.
So the greatest common factor 1902 and 1904 is 2.
Also check out the Least Common Multiple of 1902 and 1904
(i) The GCF of 1902 and 1904 is associative
GCF of 1902 and 1904 = GCF of 1904 and 1902
1. What is the GCF of 1902 and 1904?
Answer: GCF of 1902 and 1904 is 2.
2. What are the Factors of 1902?
Answer: Factors of 1902 are 1, 2, 3, 6, 317, 634, 951, 1902. There are 8 integers that are factors of 1902. The greatest factor of 1902 is 1902.
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 1902 and 1904?
Answer:
Greatest Common Factor of 1902 and 1904 = 2
Step 1: Find the prime factorization of 1902
1902 = 2 x 3 x 317
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 = 2
Step 4: Therefore, the greatest common factor of 1902 and 1904 is 2