What is the Greatest Common Factor of 19884 and 19899?

Greatest common factor (GCF) of 19884 and 19899 is 3.

GCF(19884,19899) = 3

We will now calculate the prime factors of 19884 and 19899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19884 and 19899.

How to find the GCF of 19884 and 19899?

We will first find the prime factorization of 19884 and 19899. After we will calculate the factors of 19884 and 19899 and find the biggest common factor number .

Step-1: Prime Factorization of 19884

Prime factors of 19884 are 2, 3, 1657. Prime factorization of 19884 in exponential form is:

19884 = 2² × 3¹ × 1657¹

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 19884

List of positive integer factors of 19884 that divides 19884 without a remainder.

1, 2, 3, 4, 6, 12, 1657, 3314, 4971, 6628, 9942

Step-4: Factors of 19899

List of positive integer factors of 19899 that divides 19884 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 19884 and 19899. The biggest common factor number is the GCF number.
So the greatest common factor 19884 and 19899 is 3.

Also check out the Least Common Multiple of 19884 and 19899