What is the Greatest Common Factor of 16306 and 16324?

Greatest common factor (GCF) of 16306 and 16324 is 2.

GCF(16306,16324) = 2

We will now calculate the prime factors of 16306 and 16324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16306 and 16324.

How to find the GCF of 16306 and 16324?

We will first find the prime factorization of 16306 and 16324. After we will calculate the factors of 16306 and 16324 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 16324

Prime factors of 16324 are 2, 7, 11, 53. Prime factorization of 16324 in exponential form is:

16324 = 2² × 7¹ × 11¹ × 53¹

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 16324

List of positive integer factors of 16324 that divides 16306 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 53, 77, 106, 154, 212, 308, 371, 583, 742, 1166, 1484, 2332, 4081, 8162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16306 and 16324. The biggest common factor number is the GCF number.
So the greatest common factor 16306 and 16324 is 2.

Also check out the Least Common Multiple of 16306 and 16324