What is the Greatest Common Factor of 16272 and 16290?

Greatest common factor (GCF) of 16272 and 16290 is 18.

GCF(16272,16290) = 18

We will now calculate the prime factors of 16272 and 16290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16272 and 16290.

How to find the GCF of 16272 and 16290?

We will first find the prime factorization of 16272 and 16290. After we will calculate the factors of 16272 and 16290 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 16290

Prime factors of 16290 are 2, 3, 5, 181. Prime factorization of 16290 in exponential form is:

16290 = 2¹ × 3² × 5¹ × 181¹

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 16290

List of positive integer factors of 16290 that divides 16272 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 181, 362, 543, 905, 1086, 1629, 1810, 2715, 3258, 5430, 8145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16272 and 16290. The biggest common factor number is the GCF number.
So the greatest common factor 16272 and 16290 is 18.

Also check out the Least Common Multiple of 16272 and 16290