What is the Greatest Common Factor of 32385 and 32393?

Greatest common factor (GCF) of 32385 and 32393 is 1.

GCF(32385,32393) = 1

We will now calculate the prime factors of 32385 and 32393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32385 and 32393.

How to find the GCF of 32385 and 32393?

We will first find the prime factorization of 32385 and 32393. After we will calculate the factors of 32385 and 32393 and find the biggest common factor number .

Step-1: Prime Factorization of 32385

Prime factors of 32385 are 3, 5, 17, 127. Prime factorization of 32385 in exponential form is:

32385 = 3¹ × 5¹ × 17¹ × 127¹

Step-2: Prime Factorization of 32393

Prime factors of 32393 are 29, 1117. Prime factorization of 32393 in exponential form is:

32393 = 29¹ × 1117¹

Step-3: Factors of 32385

List of positive integer factors of 32385 that divides 32385 without a remainder.

1, 3, 5, 15, 17, 51, 85, 127, 255, 381, 635, 1905, 2159, 6477, 10795

Step-4: Factors of 32393

List of positive integer factors of 32393 that divides 32385 without a remainder.

1, 29, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32385 and 32393. The biggest common factor number is the GCF number.
So the greatest common factor 32385 and 32393 is 1.

Also check out the Least Common Multiple of 32385 and 32393