What is the Greatest Common Factor of 19890 and 19903?

Greatest common factor (GCF) of 19890 and 19903 is 13.

GCF(19890,19903) = 13

We will now calculate the prime factors of 19890 and 19903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19890 and 19903.

How to find the GCF of 19890 and 19903?

We will first find the prime factorization of 19890 and 19903. After we will calculate the factors of 19890 and 19903 and find the biggest common factor number .

Step-1: Prime Factorization of 19890

Prime factors of 19890 are 2, 3, 5, 13, 17. Prime factorization of 19890 in exponential form is:

19890 = 2¹ × 3² × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 19903

Prime factors of 19903 are 13, 1531. Prime factorization of 19903 in exponential form is:

19903 = 13¹ × 1531¹

Step-3: Factors of 19890

List of positive integer factors of 19890 that divides 19890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 17, 18, 26, 30, 34, 39, 45, 51, 65, 78, 85, 90, 102, 117, 130, 153, 170, 195, 221, 234, 255, 306, 390, 442, 510, 585, 663, 765, 1105, 1170, 1326, 1530, 1989, 2210, 3315, 3978, 6630, 9945

Step-4: Factors of 19903

List of positive integer factors of 19903 that divides 19890 without a remainder.

1, 13, 1531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19890 and 19903. The biggest common factor number is the GCF number.
So the greatest common factor 19890 and 19903 is 13.

Also check out the Least Common Multiple of 19890 and 19903