What is the Greatest Common Factor of 16286 and 16302?

Greatest common factor (GCF) of 16286 and 16302 is 2.

GCF(16286,16302) = 2

We will now calculate the prime factors of 16286 and 16302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16286 and 16302.

How to find the GCF of 16286 and 16302?

We will first find the prime factorization of 16286 and 16302. After we will calculate the factors of 16286 and 16302 and find the biggest common factor number .

Step-1: Prime Factorization of 16286

Prime factors of 16286 are 2, 17, 479. Prime factorization of 16286 in exponential form is:

16286 = 2¹ × 17¹ × 479¹

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 16286

List of positive integer factors of 16286 that divides 16286 without a remainder.

1, 2, 17, 34, 479, 958, 8143

Step-4: Factors of 16302

List of positive integer factors of 16302 that divides 16286 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 16286 and 16302. The biggest common factor number is the GCF number.
So the greatest common factor 16286 and 16302 is 2.

Also check out the Least Common Multiple of 16286 and 16302