What is the Greatest Common Factor of 16302 and 16306?

Greatest common factor (GCF) of 16302 and 16306 is 2.

GCF(16302,16306) = 2

We will now calculate the prime factors of 16302 and 16306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16302 and 16306.

How to find the GCF of 16302 and 16306?

We will first find the prime factorization of 16302 and 16306. After we will calculate the factors of 16302 and 16306 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16306

Prime factors of 16306 are 2, 31, 263. Prime factorization of 16306 in exponential form is:

16306 = 2¹ × 31¹ × 263¹

Step-3: Factors of 16302

List of positive integer factors of 16302 that divides 16302 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

Step-4: Factors of 16306

List of positive integer factors of 16306 that divides 16302 without a remainder.

1, 2, 31, 62, 263, 526, 8153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16302 and 16306. The biggest common factor number is the GCF number.
So the greatest common factor 16302 and 16306 is 2.

Also check out the Least Common Multiple of 16302 and 16306