What is the Greatest Common Factor of 32382 and 32389?

Greatest common factor (GCF) of 32382 and 32389 is 7.

GCF(32382,32389) = 7

We will now calculate the prime factors of 32382 and 32389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32382 and 32389.

How to find the GCF of 32382 and 32389?

We will first find the prime factorization of 32382 and 32389. After we will calculate the factors of 32382 and 32389 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 32389

Prime factors of 32389 are 7, 661. Prime factorization of 32389 in exponential form is:

32389 = 7² × 661¹

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 32389

List of positive integer factors of 32389 that divides 32382 without a remainder.

1, 7, 49, 661, 4627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32382 and 32389. The biggest common factor number is the GCF number.
So the greatest common factor 32382 and 32389 is 7.

Also check out the Least Common Multiple of 32382 and 32389