What is the Greatest Common Factor of 32352 and 32367?

Greatest common factor (GCF) of 32352 and 32367 is 3.

GCF(32352,32367) = 3

We will now calculate the prime factors of 32352 and 32367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32352 and 32367.

How to find the GCF of 32352 and 32367?

We will first find the prime factorization of 32352 and 32367. After we will calculate the factors of 32352 and 32367 and find the biggest common factor number .

Step-1: Prime Factorization of 32352

Prime factors of 32352 are 2, 3, 337. Prime factorization of 32352 in exponential form is:

32352 = 2⁵ × 3¹ × 337¹

Step-2: Prime Factorization of 32367

Prime factors of 32367 are 3, 10789. Prime factorization of 32367 in exponential form is:

32367 = 3¹ × 10789¹

Step-3: Factors of 32352

List of positive integer factors of 32352 that divides 32352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088, 10784, 16176

Step-4: Factors of 32367

List of positive integer factors of 32367 that divides 32352 without a remainder.

1, 3, 10789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32352 and 32367. The biggest common factor number is the GCF number.
So the greatest common factor 32352 and 32367 is 3.

Also check out the Least Common Multiple of 32352 and 32367