What is the Greatest Common Factor of 1889 and 1904?
Greatest common factor (GCF) of 1889 and 1904 is 1.
GCF(1889,1904) = 1
We will now calculate the prime factors of 1889 and 1904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1889 and 1904.
How to find the GCF of 1889 and 1904?
We will first find the prime factorization of 1889 and 1904. After we will calculate the factors of 1889 and 1904 and find the biggest common factor number .
Step-1: Prime Factorization of 1889
Prime factors of 1889 are 1889. Prime factorization of 1889 in exponential form is:
1889 = 18891
Step-2: Prime Factorization of 1904
Prime factors of 1904 are 2, 7, 17. Prime factorization of 1904 in exponential form is:
1904 = 24 × 71 × 171
Step-3: Factors of 1889
List of positive integer factors of 1889 that divides 1889 without a remainder.
1
Step-4: Factors of 1904
List of positive integer factors of 1904 that divides 1889 without a remainder.
1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1889 and 1904. The biggest common factor number is the GCF number.
So the greatest common factor 1889 and 1904 is 1.
Also check out the Least Common Multiple of 1889 and 1904
Related Greatest Common Factors of 1889
- GCF of 1889 and 1893
- GCF of 1889 and 1894
- GCF of 1889 and 1895
- GCF of 1889 and 1896
- GCF of 1889 and 1897
- GCF of 1889 and 1898
- GCF of 1889 and 1899
- GCF of 1889 and 1900
- GCF of 1889 and 1901
- GCF of 1889 and 1902
- GCF of 1889 and 1903
- GCF of 1889 and 1904
- GCF of 1889 and 1905
- GCF of 1889 and 1906
- GCF of 1889 and 1907
- GCF of 1889 and 1908
- GCF of 1889 and 1909
Related Greatest Common Factors of 1904
- GCF of 1904 and 1908
- GCF of 1904 and 1909
- GCF of 1904 and 1910
- GCF of 1904 and 1911
- GCF of 1904 and 1912
- GCF of 1904 and 1913
- GCF of 1904 and 1914
- GCF of 1904 and 1915
- GCF of 1904 and 1916
- GCF of 1904 and 1917
- GCF of 1904 and 1918
- GCF of 1904 and 1919
- GCF of 1904 and 1920
- GCF of 1904 and 1921
- GCF of 1904 and 1922
- GCF of 1904 and 1923
- GCF of 1904 and 1924