What is the Greatest Common Factor of 1890 and 1903?

Greatest common factor (GCF) of 1890 and 1903 is 1.

GCF(1890,1903) = 1

We will now calculate the prime factors of 1890 and 1903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1890 and 1903.

How to find the GCF of 1890 and 1903?

We will first find the prime factorization of 1890 and 1903. After we will calculate the factors of 1890 and 1903 and find the biggest common factor number .

Step-1: Prime Factorization of 1890

Prime factors of 1890 are 2, 3, 5, 7. Prime factorization of 1890 in exponential form is:

1890 = 2¹ × 3³ × 5¹ × 7¹

Step-2: Prime Factorization of 1903

Prime factors of 1903 are 11, 173. Prime factorization of 1903 in exponential form is:

1903 = 11¹ × 173¹

Step-3: Factors of 1890

List of positive integer factors of 1890 that divides 1890 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945

Step-4: Factors of 1903

List of positive integer factors of 1903 that divides 1890 without a remainder.

1, 11, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1890 and 1903. The biggest common factor number is the GCF number.
So the greatest common factor 1890 and 1903 is 1.

Also check out the Least Common Multiple of 1890 and 1903