What is the Greatest Common Factor of 3264 and 3281?

Greatest common factor (GCF) of 3264 and 3281 is 17.

GCF(3264,3281) = 17

We will now calculate the prime factors of 3264 and 3281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3264 and 3281.

How to find the GCF of 3264 and 3281?

We will first find the prime factorization of 3264 and 3281. After we will calculate the factors of 3264 and 3281 and find the biggest common factor number .

Step-1: Prime Factorization of 3264

Prime factors of 3264 are 2, 3, 17. Prime factorization of 3264 in exponential form is:

3264 = 2⁶ × 3¹ × 17¹

Step-2: Prime Factorization of 3281

Prime factors of 3281 are 17, 193. Prime factorization of 3281 in exponential form is:

3281 = 17¹ × 193¹

Step-3: Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632

Step-4: Factors of 3281

List of positive integer factors of 3281 that divides 3264 without a remainder.

1, 17, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3264 and 3281. The biggest common factor number is the GCF number.
So the greatest common factor 3264 and 3281 is 17.

Also check out the Least Common Multiple of 3264 and 3281