What is the Greatest Common Factor of 16283 and 16302?

Greatest common factor (GCF) of 16283 and 16302 is 19.

GCF(16283,16302) = 19

We will now calculate the prime factors of 16283 and 16302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16283 and 16302.

How to find the GCF of 16283 and 16302?

We will first find the prime factorization of 16283 and 16302. After we will calculate the factors of 16283 and 16302 and find the biggest common factor number .

Step-1: Prime Factorization of 16283

Prime factors of 16283 are 19, 857. Prime factorization of 16283 in exponential form is:

16283 = 19¹ × 857¹

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 16283

List of positive integer factors of 16283 that divides 16283 without a remainder.

1, 19, 857

Step-4: Factors of 16302

List of positive integer factors of 16302 that divides 16283 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 16283 and 16302. The biggest common factor number is the GCF number.
So the greatest common factor 16283 and 16302 is 19.

Also check out the Least Common Multiple of 16283 and 16302