What is the Greatest Common Factor of 16338 and 16343?

Greatest common factor (GCF) of 16338 and 16343 is 1.

GCF(16338,16343) = 1

We will now calculate the prime factors of 16338 and 16343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16338 and 16343.

How to find the GCF of 16338 and 16343?

We will first find the prime factorization of 16338 and 16343. After we will calculate the factors of 16338 and 16343 and find the biggest common factor number .

Step-1: Prime Factorization of 16338

Prime factors of 16338 are 2, 3, 7, 389. Prime factorization of 16338 in exponential form is:

16338 = 2¹ × 3¹ × 7¹ × 389¹

Step-2: Prime Factorization of 16343

Prime factors of 16343 are 59, 277. Prime factorization of 16343 in exponential form is:

16343 = 59¹ × 277¹

Step-3: Factors of 16338

List of positive integer factors of 16338 that divides 16338 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 389, 778, 1167, 2334, 2723, 5446, 8169

Step-4: Factors of 16343

List of positive integer factors of 16343 that divides 16338 without a remainder.

1, 59, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16338 and 16343. The biggest common factor number is the GCF number.
So the greatest common factor 16338 and 16343 is 1.

Also check out the Least Common Multiple of 16338 and 16343