What is the Greatest Common Factor of 3296 and 3316?

Greatest common factor (GCF) of 3296 and 3316 is 4.

GCF(3296,3316) = 4

We will now calculate the prime factors of 3296 and 3316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3296 and 3316.

How to find the GCF of 3296 and 3316?

We will first find the prime factorization of 3296 and 3316. After we will calculate the factors of 3296 and 3316 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 3316

Prime factors of 3316 are 2, 829. Prime factorization of 3316 in exponential form is:

3316 = 2² × 829¹

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 3316

List of positive integer factors of 3316 that divides 3296 without a remainder.

1, 2, 4, 829, 1658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3296 and 3316. The biggest common factor number is the GCF number.
So the greatest common factor 3296 and 3316 is 4.

Also check out the Least Common Multiple of 3296 and 3316