What is the Greatest Common Factor of 16268 and 16286?

Greatest common factor (GCF) of 16268 and 16286 is 2.

GCF(16268,16286) = 2

We will now calculate the prime factors of 16268 and 16286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16268 and 16286.

How to find the GCF of 16268 and 16286?

We will first find the prime factorization of 16268 and 16286. After we will calculate the factors of 16268 and 16286 and find the biggest common factor number .

Step-1: Prime Factorization of 16268

Prime factors of 16268 are 2, 7, 83. Prime factorization of 16268 in exponential form is:

16268 = 2² × 7² × 83¹

Step-2: 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-3: Factors of 16268

List of positive integer factors of 16268 that divides 16268 without a remainder.

1, 2, 4, 7, 14, 28, 49, 83, 98, 166, 196, 332, 581, 1162, 2324, 4067, 8134

Step-4: Factors of 16286

List of positive integer factors of 16286 that divides 16268 without a remainder.

1, 2, 17, 34, 479, 958, 8143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16268 and 16286. The biggest common factor number is the GCF number.
So the greatest common factor 16268 and 16286 is 2.

Also check out the Least Common Multiple of 16268 and 16286