What is the Greatest Common Factor of 3296 and 3303?

Greatest common factor (GCF) of 3296 and 3303 is 1.

GCF(3296,3303) = 1

We will now calculate the prime factors of 3296 and 3303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3296 and 3303.

How to find the GCF of 3296 and 3303?

We will first find the prime factorization of 3296 and 3303. After we will calculate the factors of 3296 and 3303 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 3303

Prime factors of 3303 are 3, 367. Prime factorization of 3303 in exponential form is:

3303 = 3² × 367¹

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 3303

List of positive integer factors of 3303 that divides 3296 without a remainder.

1, 3, 9, 367, 1101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3296 and 3303. The biggest common factor number is the GCF number.
So the greatest common factor 3296 and 3303 is 1.

Also check out the Least Common Multiple of 3296 and 3303