What is the Greatest Common Factor of 16302 and 16316?

Greatest common factor (GCF) of 16302 and 16316 is 2.

GCF(16302,16316) = 2

We will now calculate the prime factors of 16302 and 16316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16302 and 16316.

How to find the GCF of 16302 and 16316?

We will first find the prime factorization of 16302 and 16316. After we will calculate the factors of 16302 and 16316 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 16316

Prime factors of 16316 are 2, 4079. Prime factorization of 16316 in exponential form is:

16316 = 2² × 4079¹

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 16316

List of positive integer factors of 16316 that divides 16302 without a remainder.

1, 2, 4, 4079, 8158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16302 and 16316. The biggest common factor number is the GCF number.
So the greatest common factor 16302 and 16316 is 2.

Also check out the Least Common Multiple of 16302 and 16316