What is the Greatest Common Factor of 16341 and 16348?

Greatest common factor (GCF) of 16341 and 16348 is 1.

GCF(16341,16348) = 1

We will now calculate the prime factors of 16341 and 16348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16341 and 16348.

How to find the GCF of 16341 and 16348?

We will first find the prime factorization of 16341 and 16348. After we will calculate the factors of 16341 and 16348 and find the biggest common factor number .

Step-1: Prime Factorization of 16341

Prime factors of 16341 are 3, 13, 419. Prime factorization of 16341 in exponential form is:

16341 = 3¹ × 13¹ × 419¹

Step-2: Prime Factorization of 16348

Prime factors of 16348 are 2, 61, 67. Prime factorization of 16348 in exponential form is:

16348 = 2² × 61¹ × 67¹

Step-3: Factors of 16341

List of positive integer factors of 16341 that divides 16341 without a remainder.

1, 3, 13, 39, 419, 1257, 5447

Step-4: Factors of 16348

List of positive integer factors of 16348 that divides 16341 without a remainder.

1, 2, 4, 61, 67, 122, 134, 244, 268, 4087, 8174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16341 and 16348. The biggest common factor number is the GCF number.
So the greatest common factor 16341 and 16348 is 1.

Also check out the Least Common Multiple of 16341 and 16348