What is the Greatest Common Factor of 16377 and 16383?

Greatest common factor (GCF) of 16377 and 16383 is 3.

GCF(16377,16383) = 3

We will now calculate the prime factors of 16377 and 16383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16377 and 16383.

How to find the GCF of 16377 and 16383?

We will first find the prime factorization of 16377 and 16383. After we will calculate the factors of 16377 and 16383 and find the biggest common factor number .

Step-1: Prime Factorization of 16377

Prime factors of 16377 are 3, 53, 103. Prime factorization of 16377 in exponential form is:

16377 = 3¹ × 53¹ × 103¹

Step-2: Prime Factorization of 16383

Prime factors of 16383 are 3, 43, 127. Prime factorization of 16383 in exponential form is:

16383 = 3¹ × 43¹ × 127¹

Step-3: Factors of 16377

List of positive integer factors of 16377 that divides 16377 without a remainder.

1, 3, 53, 103, 159, 309, 5459

Step-4: Factors of 16383

List of positive integer factors of 16383 that divides 16377 without a remainder.

1, 3, 43, 127, 129, 381, 5461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16377 and 16383. The biggest common factor number is the GCF number.
So the greatest common factor 16377 and 16383 is 3.

Also check out the Least Common Multiple of 16377 and 16383