What is the Greatest Common Factor of 16884 and 16899?

Greatest common factor (GCF) of 16884 and 16899 is 3.

GCF(16884,16899) = 3

We will now calculate the prime factors of 16884 and 16899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16884 and 16899.

How to find the GCF of 16884 and 16899?

We will first find the prime factorization of 16884 and 16899. After we will calculate the factors of 16884 and 16899 and find the biggest common factor number .

Step-1: Prime Factorization of 16884

Prime factors of 16884 are 2, 3, 7, 67. Prime factorization of 16884 in exponential form is:

16884 = 2² × 3² × 7¹ × 67¹

Step-2: Prime Factorization of 16899

Prime factors of 16899 are 3, 43, 131. Prime factorization of 16899 in exponential form is:

16899 = 3¹ × 43¹ × 131¹

Step-3: Factors of 16884

List of positive integer factors of 16884 that divides 16884 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 67, 84, 126, 134, 201, 252, 268, 402, 469, 603, 804, 938, 1206, 1407, 1876, 2412, 2814, 4221, 5628, 8442

Step-4: Factors of 16899

List of positive integer factors of 16899 that divides 16884 without a remainder.

1, 3, 43, 129, 131, 393, 5633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16884 and 16899. The biggest common factor number is the GCF number.
So the greatest common factor 16884 and 16899 is 3.

Also check out the Least Common Multiple of 16884 and 16899