What is the Greatest Common Factor of 16884 and 16896?

Greatest common factor (GCF) of 16884 and 16896 is 12.

GCF(16884,16896) = 12

We will now calculate the prime factors of 16884 and 16896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16884 and 16896.

How to find the GCF of 16884 and 16896?

We will first find the prime factorization of 16884 and 16896. After we will calculate the factors of 16884 and 16896 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 16896

Prime factors of 16896 are 2, 3, 11. Prime factorization of 16896 in exponential form is:

16896 = 2⁹ × 3¹ × 11¹

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 16896

List of positive integer factors of 16896 that divides 16884 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1056, 1408, 1536, 2112, 2816, 4224, 5632, 8448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16884 and 16896. The biggest common factor number is the GCF number.
So the greatest common factor 16884 and 16896 is 12.

Also check out the Least Common Multiple of 16884 and 16896