What is the Greatest Common Factor of 3296 and 3302?

Greatest common factor (GCF) of 3296 and 3302 is 2.

GCF(3296,3302) = 2

We will now calculate the prime factors of 3296 and 3302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3296 and 3302.

How to find the GCF of 3296 and 3302?

We will first find the prime factorization of 3296 and 3302. After we will calculate the factors of 3296 and 3302 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 3302

Prime factors of 3302 are 2, 13, 127. Prime factorization of 3302 in exponential form is:

3302 = 2¹ × 13¹ × 127¹

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 3302

List of positive integer factors of 3302 that divides 3296 without a remainder.

1, 2, 13, 26, 127, 254, 1651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3296 and 3302. The biggest common factor number is the GCF number.
So the greatest common factor 3296 and 3302 is 2.

Also check out the Least Common Multiple of 3296 and 3302