What is the Greatest Common Factor of 1890 and 1899?

Greatest common factor (GCF) of 1890 and 1899 is 9.

GCF(1890,1899) = 9

We will now calculate the prime factors of 1890 and 1899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1890 and 1899.

How to find the GCF of 1890 and 1899?

We will first find the prime factorization of 1890 and 1899. After we will calculate the factors of 1890 and 1899 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 1899

Prime factors of 1899 are 3, 211. Prime factorization of 1899 in exponential form is:

1899 = 3² × 211¹

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 1899

List of positive integer factors of 1899 that divides 1890 without a remainder.

1, 3, 9, 211, 633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1890 and 1899. The biggest common factor number is the GCF number.
So the greatest common factor 1890 and 1899 is 9.

Also check out the Least Common Multiple of 1890 and 1899