What is the Greatest Common Factor of 32378 and 32382?

Greatest common factor (GCF) of 32378 and 32382 is 2.

GCF(32378,32382) = 2

We will now calculate the prime factors of 32378 and 32382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32378 and 32382.

How to find the GCF of 32378 and 32382?

We will first find the prime factorization of 32378 and 32382. After we will calculate the factors of 32378 and 32382 and find the biggest common factor number .

Step-1: Prime Factorization of 32378

Prime factors of 32378 are 2, 16189. Prime factorization of 32378 in exponential form is:

32378 = 2¹ × 16189¹

Step-2: 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-3: Factors of 32378

List of positive integer factors of 32378 that divides 32378 without a remainder.

1, 2, 16189

Step-4: Factors of 32382

List of positive integer factors of 32382 that divides 32378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32378 and 32382. The biggest common factor number is the GCF number.
So the greatest common factor 32378 and 32382 is 2.

Also check out the Least Common Multiple of 32378 and 32382