What is the Greatest Common Factor of 16274 and 16286?

Greatest common factor (GCF) of 16274 and 16286 is 2.

GCF(16274,16286) = 2

We will now calculate the prime factors of 16274 and 16286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16274 and 16286.

How to find the GCF of 16274 and 16286?

We will first find the prime factorization of 16274 and 16286. After we will calculate the factors of 16274 and 16286 and find the biggest common factor number .

Step-1: Prime Factorization of 16274

Prime factors of 16274 are 2, 79, 103. Prime factorization of 16274 in exponential form is:

16274 = 2¹ × 79¹ × 103¹

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 16274

List of positive integer factors of 16274 that divides 16274 without a remainder.

1, 2, 79, 103, 158, 206, 8137

Step-4: Factors of 16286

List of positive integer factors of 16286 that divides 16274 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16274 and 16286. The biggest common factor number is the GCF number.
So the greatest common factor 16274 and 16286 is 2.

Also check out the Least Common Multiple of 16274 and 16286