What is the Greatest Common Factor of 16286 and 16303?

Greatest common factor (GCF) of 16286 and 16303 is 17.

GCF(16286,16303) = 17

We will now calculate the prime factors of 16286 and 16303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16286 and 16303.

How to find the GCF of 16286 and 16303?

We will first find the prime factorization of 16286 and 16303. After we will calculate the factors of 16286 and 16303 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 16303

Prime factors of 16303 are 7, 17, 137. Prime factorization of 16303 in exponential form is:

16303 = 7¹ × 17¹ × 137¹

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 16303

List of positive integer factors of 16303 that divides 16286 without a remainder.

1, 7, 17, 119, 137, 959, 2329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16286 and 16303. The biggest common factor number is the GCF number.
So the greatest common factor 16286 and 16303 is 17.

Also check out the Least Common Multiple of 16286 and 16303