What is the Greatest Common Factor of 32238 and 32248?

Greatest common factor (GCF) of 32238 and 32248 is 2.

GCF(32238,32248) = 2

We will now calculate the prime factors of 32238 and 32248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32238 and 32248.

How to find the GCF of 32238 and 32248?

We will first find the prime factorization of 32238 and 32248. After we will calculate the factors of 32238 and 32248 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 32248

Prime factors of 32248 are 2, 29, 139. Prime factorization of 32248 in exponential form is:

32248 = 2³ × 29¹ × 139¹

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 32248

List of positive integer factors of 32248 that divides 32238 without a remainder.

1, 2, 4, 8, 29, 58, 116, 139, 232, 278, 556, 1112, 4031, 8062, 16124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32238 and 32248. The biggest common factor number is the GCF number.
So the greatest common factor 32238 and 32248 is 2.

Also check out the Least Common Multiple of 32238 and 32248