What is the Greatest Common Factor of 32234 and 32238?

Greatest common factor (GCF) of 32234 and 32238 is 2.

GCF(32234,32238) = 2

We will now calculate the prime factors of 32234 and 32238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32234 and 32238.

How to find the GCF of 32234 and 32238?

We will first find the prime factorization of 32234 and 32238. After we will calculate the factors of 32234 and 32238 and find the biggest common factor number .

Step-1: Prime Factorization of 32234

Prime factors of 32234 are 2, 71, 227. Prime factorization of 32234 in exponential form is:

32234 = 2¹ × 71¹ × 227¹

Step-2: 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-3: Factors of 32234

List of positive integer factors of 32234 that divides 32234 without a remainder.

1, 2, 71, 142, 227, 454, 16117

Step-4: Factors of 32238

List of positive integer factors of 32238 that divides 32234 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32234 and 32238. The biggest common factor number is the GCF number.
So the greatest common factor 32234 and 32238 is 2.

Also check out the Least Common Multiple of 32234 and 32238