What is the Greatest Common Factor of 32896 and 32912?

Greatest common factor (GCF) of 32896 and 32912 is 16.

GCF(32896,32912) = 16

We will now calculate the prime factors of 32896 and 32912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32896 and 32912.

How to find the GCF of 32896 and 32912?

We will first find the prime factorization of 32896 and 32912. After we will calculate the factors of 32896 and 32912 and find the biggest common factor number .

Step-1: Prime Factorization of 32896

Prime factors of 32896 are 2, 257. Prime factorization of 32896 in exponential form is:

32896 = 2⁷ × 257¹

Step-2: Prime Factorization of 32912

Prime factors of 32912 are 2, 11, 17. Prime factorization of 32912 in exponential form is:

32912 = 2⁴ × 11² × 17¹

Step-3: Factors of 32896

List of positive integer factors of 32896 that divides 32896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 257, 514, 1028, 2056, 4112, 8224, 16448

Step-4: Factors of 32912

List of positive integer factors of 32912 that divides 32896 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 121, 136, 176, 187, 242, 272, 374, 484, 748, 968, 1496, 1936, 2057, 2992, 4114, 8228, 16456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32896 and 32912. The biggest common factor number is the GCF number.
So the greatest common factor 32896 and 32912 is 16.

Also check out the Least Common Multiple of 32896 and 32912