What is the Greatest Common Factor of 32256 and 32276?

Greatest common factor (GCF) of 32256 and 32276 is 4.

GCF(32256,32276) = 4

We will now calculate the prime factors of 32256 and 32276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32256 and 32276.

How to find the GCF of 32256 and 32276?

We will first find the prime factorization of 32256 and 32276. After we will calculate the factors of 32256 and 32276 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 32276

Prime factors of 32276 are 2, 8069. Prime factorization of 32276 in exponential form is:

32276 = 2² × 8069¹

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 32276

List of positive integer factors of 32276 that divides 32256 without a remainder.

1, 2, 4, 8069, 16138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32256 and 32276. The biggest common factor number is the GCF number.
So the greatest common factor 32256 and 32276 is 4.

Also check out the Least Common Multiple of 32256 and 32276