What is the Greatest Common Factor of 3296 and 3304?

Greatest common factor (GCF) of 3296 and 3304 is 8.

GCF(3296,3304) = 8

We will now calculate the prime factors of 3296 and 3304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3296 and 3304.

How to find the GCF of 3296 and 3304?

We will first find the prime factorization of 3296 and 3304. After we will calculate the factors of 3296 and 3304 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 3304

Prime factors of 3304 are 2, 7, 59. Prime factorization of 3304 in exponential form is:

3304 = 2³ × 7¹ × 59¹

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 3304

List of positive integer factors of 3304 that divides 3296 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3296 and 3304. The biggest common factor number is the GCF number.
So the greatest common factor 3296 and 3304 is 8.

Also check out the Least Common Multiple of 3296 and 3304