What is the Greatest Common Factor of 19890 and 19899?

Greatest common factor (GCF) of 19890 and 19899 is 9.

GCF(19890,19899) = 9

We will now calculate the prime factors of 19890 and 19899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19890 and 19899.

How to find the GCF of 19890 and 19899?

We will first find the prime factorization of 19890 and 19899. After we will calculate the factors of 19890 and 19899 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 19899

Prime factors of 19899 are 3, 11, 67. Prime factorization of 19899 in exponential form is:

19899 = 3³ × 11¹ × 67¹

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 19899

List of positive integer factors of 19899 that divides 19890 without a remainder.

1, 3, 9, 11, 27, 33, 67, 99, 201, 297, 603, 737, 1809, 2211, 6633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19890 and 19899. The biggest common factor number is the GCF number.
So the greatest common factor 19890 and 19899 is 9.

Also check out the Least Common Multiple of 19890 and 19899