What is the Greatest Common Factor of 32238 and 32254?

Greatest common factor (GCF) of 32238 and 32254 is 2.

GCF(32238,32254) = 2

We will now calculate the prime factors of 32238 and 32254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32238 and 32254.

How to find the GCF of 32238 and 32254?

We will first find the prime factorization of 32238 and 32254. After we will calculate the factors of 32238 and 32254 and find the biggest common factor number .

Step-1: Prime Factorization of 32238

Prime factors of 32238 are 2, 3, 199. Prime factorization of 32238 in exponential form is:

32238 = 2¹ × 3⁴ × 199¹

Step-2: Prime Factorization of 32254

Prime factors of 32254 are 2, 16127. Prime factorization of 32254 in exponential form is:

32254 = 2¹ × 16127¹

Step-3: Factors of 32238

List of positive integer factors of 32238 that divides 32238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 199, 398, 597, 1194, 1791, 3582, 5373, 10746, 16119

Step-4: Factors of 32254

List of positive integer factors of 32254 that divides 32238 without a remainder.

1, 2, 16127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32238 and 32254. The biggest common factor number is the GCF number.
So the greatest common factor 32238 and 32254 is 2.

Also check out the Least Common Multiple of 32238 and 32254