What is the Greatest Common Factor of 3289 and 3296?

Greatest common factor (GCF) of 3289 and 3296 is 1.

GCF(3289,3296) = 1

We will now calculate the prime factors of 3289 and 3296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3289 and 3296.

How to find the GCF of 3289 and 3296?

We will first find the prime factorization of 3289 and 3296. After we will calculate the factors of 3289 and 3296 and find the biggest common factor number .

Step-1: Prime Factorization of 3289

Prime factors of 3289 are 11, 13, 23. Prime factorization of 3289 in exponential form is:

3289 = 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 3296

Prime factors of 3296 are 2, 103. Prime factorization of 3296 in exponential form is:

3296 = 2⁵ × 103¹

Step-3: Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1, 11, 13, 23, 143, 253, 299

Step-4: Factors of 3296

List of positive integer factors of 3296 that divides 3289 without a remainder.

1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3289 and 3296. The biggest common factor number is the GCF number.
So the greatest common factor 3289 and 3296 is 1.

Also check out the Least Common Multiple of 3289 and 3296