What is the Greatest Common Factor of 32256 and 32272?

Greatest common factor (GCF) of 32256 and 32272 is 16.

GCF(32256,32272) = 16

We will now calculate the prime factors of 32256 and 32272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32256 and 32272.

How to find the GCF of 32256 and 32272?

We will first find the prime factorization of 32256 and 32272. After we will calculate the factors of 32256 and 32272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32272

Prime factors of 32272 are 2, 2017. Prime factorization of 32272 in exponential form is:

32272 = 2⁴ × 2017¹

Step-3: Factors of 32256

List of positive integer factors of 32256 that divides 32256 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

Step-4: Factors of 32272

List of positive integer factors of 32272 that divides 32256 without a remainder.

1, 2, 4, 8, 16, 2017, 4034, 8068, 16136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32256 and 32272. The biggest common factor number is the GCF number.
So the greatest common factor 32256 and 32272 is 16.

Also check out the Least Common Multiple of 32256 and 32272