What is the Greatest Common Factor of 32385 and 32403?

Greatest common factor (GCF) of 32385 and 32403 is 3.

GCF(32385,32403) = 3

We will now calculate the prime factors of 32385 and 32403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32385 and 32403.

How to find the GCF of 32385 and 32403?

We will first find the prime factorization of 32385 and 32403. After we will calculate the factors of 32385 and 32403 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 32403

Prime factors of 32403 are 3, 7, 1543. Prime factorization of 32403 in exponential form is:

32403 = 3¹ × 7¹ × 1543¹

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 32403

List of positive integer factors of 32403 that divides 32385 without a remainder.

1, 3, 7, 21, 1543, 4629, 10801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32385 and 32403. The biggest common factor number is the GCF number.
So the greatest common factor 32385 and 32403 is 3.

Also check out the Least Common Multiple of 32385 and 32403