What is the Greatest Common Factor of 32256 and 32275?

Greatest common factor (GCF) of 32256 and 32275 is 1.

GCF(32256,32275) = 1

We will now calculate the prime factors of 32256 and 32275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32256 and 32275.

How to find the GCF of 32256 and 32275?

We will first find the prime factorization of 32256 and 32275. After we will calculate the factors of 32256 and 32275 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 32275

Prime factors of 32275 are 5, 1291. Prime factorization of 32275 in exponential form is:

32275 = 5² × 1291¹

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 32275

List of positive integer factors of 32275 that divides 32256 without a remainder.

1, 5, 25, 1291, 6455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32256 and 32275. The biggest common factor number is the GCF number.
So the greatest common factor 32256 and 32275 is 1.

Also check out the Least Common Multiple of 32256 and 32275