What is the Greatest Common Factor of 1889 and 1908?

Greatest common factor (GCF) of 1889 and 1908 is 1.

GCF(1889,1908) = 1

We will now calculate the prime factors of 1889 and 1908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1889 and 1908.

How to find the GCF of 1889 and 1908?

We will first find the prime factorization of 1889 and 1908. After we will calculate the factors of 1889 and 1908 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 1908

Prime factors of 1908 are 2, 3, 53. Prime factorization of 1908 in exponential form is:

1908 = 2² × 3² × 53¹

Step-3: Factors of 1889

List of positive integer factors of 1889 that divides 1889 without a remainder.

Step-4: Factors of 1908

List of positive integer factors of 1908 that divides 1889 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1889 and 1908. The biggest common factor number is the GCF number.
So the greatest common factor 1889 and 1908 is 1.

Also check out the Least Common Multiple of 1889 and 1908