What is the Greatest Common Factor of 32256 and 32268?

Greatest common factor (GCF) of 32256 and 32268 is 12.

GCF(32256,32268) = 12

We will now calculate the prime factors of 32256 and 32268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32256 and 32268.

How to find the GCF of 32256 and 32268?

We will first find the prime factorization of 32256 and 32268. After we will calculate the factors of 32256 and 32268 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 32268

Prime factors of 32268 are 2, 3, 2689. Prime factorization of 32268 in exponential form is:

32268 = 2² × 3¹ × 2689¹

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 32268

List of positive integer factors of 32268 that divides 32256 without a remainder.

1, 2, 3, 4, 6, 12, 2689, 5378, 8067, 10756, 16134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32256 and 32268. The biggest common factor number is the GCF number.
So the greatest common factor 32256 and 32268 is 12.

Also check out the Least Common Multiple of 32256 and 32268