What is the Greatest Common Factor of 32238 and 32256?

Greatest common factor (GCF) of 32238 and 32256 is 18.

GCF(32238,32256) = 18

We will now calculate the prime factors of 32238 and 32256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32238 and 32256.

How to find the GCF of 32238 and 32256?

We will first find the prime factorization of 32238 and 32256. After we will calculate the factors of 32238 and 32256 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 32256

Prime factors of 32256 are 2, 3, 7. Prime factorization of 32256 in exponential form is:

32256 = 2⁹ × 3² × 7¹

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 32256

List of positive integer factors of 32256 that divides 32238 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 256, 288, 336, 384, 448, 504, 512, 576, 672, 768, 896, 1008, 1152, 1344, 1536, 1792, 2016, 2304, 2688, 3584, 4032, 4608, 5376, 8064, 10752, 16128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32238 and 32256. The biggest common factor number is the GCF number.
So the greatest common factor 32238 and 32256 is 18.

Also check out the Least Common Multiple of 32238 and 32256