What is the Greatest Common Factor of 16303 and 16311?

Greatest common factor (GCF) of 16303 and 16311 is 1.

GCF(16303,16311) = 1

We will now calculate the prime factors of 16303 and 16311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16303 and 16311.

How to find the GCF of 16303 and 16311?

We will first find the prime factorization of 16303 and 16311. After we will calculate the factors of 16303 and 16311 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16311

Prime factors of 16311 are 3, 5437. Prime factorization of 16311 in exponential form is:

16311 = 3¹ × 5437¹

Step-3: Factors of 16303

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

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

Step-4: Factors of 16311

List of positive integer factors of 16311 that divides 16303 without a remainder.

1, 3, 5437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16303 and 16311. The biggest common factor number is the GCF number.
So the greatest common factor 16303 and 16311 is 1.

Also check out the Least Common Multiple of 16303 and 16311