What is the Greatest Common Factor of 16272 and 16284?

Greatest common factor (GCF) of 16272 and 16284 is 12.

GCF(16272,16284) = 12

We will now calculate the prime factors of 16272 and 16284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16272 and 16284.

How to find the GCF of 16272 and 16284?

We will first find the prime factorization of 16272 and 16284. After we will calculate the factors of 16272 and 16284 and find the biggest common factor number .

Step-1: Prime Factorization of 16272

Prime factors of 16272 are 2, 3, 113. Prime factorization of 16272 in exponential form is:

16272 = 2⁴ × 3² × 113¹

Step-2: 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-3: Factors of 16272

List of positive integer factors of 16272 that divides 16272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 113, 144, 226, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 4068, 5424, 8136

Step-4: Factors of 16284

List of positive integer factors of 16284 that divides 16272 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16272 and 16284. The biggest common factor number is the GCF number.
So the greatest common factor 16272 and 16284 is 12.

Also check out the Least Common Multiple of 16272 and 16284