What is the Greatest Common Factor of 16302 and 16314?

Greatest common factor (GCF) of 16302 and 16314 is 6.

GCF(16302,16314) = 6

We will now calculate the prime factors of 16302 and 16314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16302 and 16314.

How to find the GCF of 16302 and 16314?

We will first find the prime factorization of 16302 and 16314. After we will calculate the factors of 16302 and 16314 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 16314

Prime factors of 16314 are 2, 3, 2719. Prime factorization of 16314 in exponential form is:

16314 = 2¹ × 3¹ × 2719¹

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 16314

List of positive integer factors of 16314 that divides 16302 without a remainder.

1, 2, 3, 6, 2719, 5438, 8157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16302 and 16314. The biggest common factor number is the GCF number.
So the greatest common factor 16302 and 16314 is 6.

Also check out the Least Common Multiple of 16302 and 16314