What is the Greatest Common Factor of 3302 and 3308?

Greatest common factor (GCF) of 3302 and 3308 is 2.

GCF(3302,3308) = 2

We will now calculate the prime factors of 3302 and 3308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3302 and 3308.

How to find the GCF of 3302 and 3308?

We will first find the prime factorization of 3302 and 3308. After we will calculate the factors of 3302 and 3308 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3308

Prime factors of 3308 are 2, 827. Prime factorization of 3308 in exponential form is:

3308 = 2² × 827¹

Step-3: Factors of 3302

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

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

Step-4: Factors of 3308

List of positive integer factors of 3308 that divides 3302 without a remainder.

1, 2, 4, 827, 1654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3302 and 3308. The biggest common factor number is the GCF number.
So the greatest common factor 3302 and 3308 is 2.

Also check out the Least Common Multiple of 3302 and 3308