What is the Greatest Common Factor of 3256 and 3274?

Greatest common factor (GCF) of 3256 and 3274 is 2.

GCF(3256,3274) = 2

We will now calculate the prime factors of 3256 and 3274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3256 and 3274.

How to find the GCF of 3256 and 3274?

We will first find the prime factorization of 3256 and 3274. After we will calculate the factors of 3256 and 3274 and find the biggest common factor number .

Step-1: Prime Factorization of 3256

Prime factors of 3256 are 2, 11, 37. Prime factorization of 3256 in exponential form is:

3256 = 2³ × 11¹ × 37¹

Step-2: Prime Factorization of 3274

Prime factors of 3274 are 2, 1637. Prime factorization of 3274 in exponential form is:

3274 = 2¹ × 1637¹

Step-3: Factors of 3256

List of positive integer factors of 3256 that divides 3256 without a remainder.

1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628

Step-4: Factors of 3274

List of positive integer factors of 3274 that divides 3256 without a remainder.

1, 2, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3256 and 3274. The biggest common factor number is the GCF number.
So the greatest common factor 3256 and 3274 is 2.

Also check out the Least Common Multiple of 3256 and 3274