What is the Greatest Common Factor of 16306 and 16312?

Greatest common factor (GCF) of 16306 and 16312 is 2.

GCF(16306,16312) = 2

We will now calculate the prime factors of 16306 and 16312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16306 and 16312.

How to find the GCF of 16306 and 16312?

We will first find the prime factorization of 16306 and 16312. After we will calculate the factors of 16306 and 16312 and find the biggest common factor number .

Step-1: Prime Factorization of 16306

Prime factors of 16306 are 2, 31, 263. Prime factorization of 16306 in exponential form is:

16306 = 2¹ × 31¹ × 263¹

Step-2: Prime Factorization of 16312

Prime factors of 16312 are 2, 2039. Prime factorization of 16312 in exponential form is:

16312 = 2³ × 2039¹

Step-3: Factors of 16306

List of positive integer factors of 16306 that divides 16306 without a remainder.

1, 2, 31, 62, 263, 526, 8153

Step-4: Factors of 16312

List of positive integer factors of 16312 that divides 16306 without a remainder.

1, 2, 4, 8, 2039, 4078, 8156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16306 and 16312. The biggest common factor number is the GCF number.
So the greatest common factor 16306 and 16312 is 2.

Also check out the Least Common Multiple of 16306 and 16312