What is the Greatest Common Factor of 16284 and 16296?

Greatest common factor (GCF) of 16284 and 16296 is 12.

GCF(16284,16296) = 12

We will now calculate the prime factors of 16284 and 16296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16284 and 16296.

How to find the GCF of 16284 and 16296?

We will first find the prime factorization of 16284 and 16296. After we will calculate the factors of 16284 and 16296 and find the biggest common factor number .

Step-1: Prime Factorization of 16284

Prime factors of 16284 are 2, 3, 23, 59. Prime factorization of 16284 in exponential form is:

16284 = 2² × 3¹ × 23¹ × 59¹

Step-2: Prime Factorization of 16296

Prime factors of 16296 are 2, 3, 7, 97. Prime factorization of 16296 in exponential form is:

16296 = 2³ × 3¹ × 7¹ × 97¹

Step-3: Factors of 16284

List of positive integer factors of 16284 that divides 16284 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 59, 69, 92, 118, 138, 177, 236, 276, 354, 708, 1357, 2714, 4071, 5428, 8142

Step-4: Factors of 16296

List of positive integer factors of 16296 that divides 16284 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 97, 168, 194, 291, 388, 582, 679, 776, 1164, 1358, 2037, 2328, 2716, 4074, 5432, 8148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16284 and 16296. The biggest common factor number is the GCF number.
So the greatest common factor 16284 and 16296 is 12.

Also check out the Least Common Multiple of 16284 and 16296