What is the Greatest Common Factor of 32256 and 32266?

Greatest common factor (GCF) of 32256 and 32266 is 2.

GCF(32256,32266) = 2

We will now calculate the prime factors of 32256 and 32266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32256 and 32266.

How to find the GCF of 32256 and 32266?

We will first find the prime factorization of 32256 and 32266. After we will calculate the factors of 32256 and 32266 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 32266

Prime factors of 32266 are 2, 13, 17, 73. Prime factorization of 32266 in exponential form is:

32266 = 2¹ × 13¹ × 17¹ × 73¹

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 32266

List of positive integer factors of 32266 that divides 32256 without a remainder.

1, 2, 13, 17, 26, 34, 73, 146, 221, 442, 949, 1241, 1898, 2482, 16133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32256 and 32266. The biggest common factor number is the GCF number.
So the greatest common factor 32256 and 32266 is 2.

Also check out the Least Common Multiple of 32256 and 32266