What is the Greatest Common Factor of 32382 and 32392?

Greatest common factor (GCF) of 32382 and 32392 is 2.

GCF(32382,32392) = 2

We will now calculate the prime factors of 32382 and 32392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32382 and 32392.

How to find the GCF of 32382 and 32392?

We will first find the prime factorization of 32382 and 32392. After we will calculate the factors of 32382 and 32392 and find the biggest common factor number .

Step-1: Prime Factorization of 32382

Prime factors of 32382 are 2, 3, 7, 257. Prime factorization of 32382 in exponential form is:

32382 = 2¹ × 3² × 7¹ × 257¹

Step-2: Prime Factorization of 32392

Prime factors of 32392 are 2, 4049. Prime factorization of 32392 in exponential form is:

32392 = 2³ × 4049¹

Step-3: Factors of 32382

List of positive integer factors of 32382 that divides 32382 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 257, 514, 771, 1542, 1799, 2313, 3598, 4626, 5397, 10794, 16191

Step-4: Factors of 32392

List of positive integer factors of 32392 that divides 32382 without a remainder.

1, 2, 4, 8, 4049, 8098, 16196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32382 and 32392. The biggest common factor number is the GCF number.
So the greatest common factor 32382 and 32392 is 2.

Also check out the Least Common Multiple of 32382 and 32392