What is the Greatest Common Factor of 3296 and 3301?

Greatest common factor (GCF) of 3296 and 3301 is 1.

GCF(3296,3301) = 1

We will now calculate the prime factors of 3296 and 3301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3296 and 3301.

How to find the GCF of 3296 and 3301?

We will first find the prime factorization of 3296 and 3301. After we will calculate the factors of 3296 and 3301 and find the biggest common factor number .

Step-1: Prime Factorization of 3296

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

3296 = 2⁵ × 103¹

Step-2: Prime Factorization of 3301

Prime factors of 3301 are 3301. Prime factorization of 3301 in exponential form is:

3301 = 3301¹

Step-3: Factors of 3296

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

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

Step-4: Factors of 3301

List of positive integer factors of 3301 that divides 3296 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3296 and 3301. The biggest common factor number is the GCF number.
So the greatest common factor 3296 and 3301 is 1.

Also check out the Least Common Multiple of 3296 and 3301