What is the Greatest Common Factor of 16365 and 16385?

Greatest common factor (GCF) of 16365 and 16385 is 5.

GCF(16365,16385) = 5

We will now calculate the prime factors of 16365 and 16385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16365 and 16385.

How to find the GCF of 16365 and 16385?

We will first find the prime factorization of 16365 and 16385. After we will calculate the factors of 16365 and 16385 and find the biggest common factor number .

Step-1: Prime Factorization of 16365

Prime factors of 16365 are 3, 5, 1091. Prime factorization of 16365 in exponential form is:

16365 = 3¹ × 5¹ × 1091¹

Step-2: Prime Factorization of 16385

Prime factors of 16385 are 5, 29, 113. Prime factorization of 16385 in exponential form is:

16385 = 5¹ × 29¹ × 113¹

Step-3: Factors of 16365

List of positive integer factors of 16365 that divides 16365 without a remainder.

1, 3, 5, 15, 1091, 3273, 5455

Step-4: Factors of 16385

List of positive integer factors of 16385 that divides 16365 without a remainder.

1, 5, 29, 113, 145, 565, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16365 and 16385. The biggest common factor number is the GCF number.
So the greatest common factor 16365 and 16385 is 5.

Also check out the Least Common Multiple of 16365 and 16385