What is the Greatest Common Factor of 16284 and 16302?

Greatest common factor (GCF) of 16284 and 16302 is 6.

GCF(16284,16302) = 6

We will now calculate the prime factors of 16284 and 16302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16284 and 16302.

How to find the GCF of 16284 and 16302?

We will first find the prime factorization of 16284 and 16302. After we will calculate the factors of 16284 and 16302 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 16302

Prime factors of 16302 are 2, 3, 11, 13, 19. Prime factorization of 16302 in exponential form is:

16302 = 2¹ × 3¹ × 11¹ × 13¹ × 19¹

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 16302

List of positive integer factors of 16302 that divides 16284 without a remainder.

1, 2, 3, 6, 11, 13, 19, 22, 26, 33, 38, 39, 57, 66, 78, 114, 143, 209, 247, 286, 418, 429, 494, 627, 741, 858, 1254, 1482, 2717, 5434, 8151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16284 and 16302. The biggest common factor number is the GCF number.
So the greatest common factor 16284 and 16302 is 6.

Also check out the Least Common Multiple of 16284 and 16302