What is the Greatest Common Factor of 3274 and 3280?

Greatest common factor (GCF) of 3274 and 3280 is 2.

GCF(3274,3280) = 2

We will now calculate the prime factors of 3274 and 3280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3274 and 3280.

How to find the GCF of 3274 and 3280?

We will first find the prime factorization of 3274 and 3280. After we will calculate the factors of 3274 and 3280 and find the biggest common factor number .

Step-1: Prime Factorization of 3274

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

3274 = 2¹ × 1637¹

Step-2: Prime Factorization of 3280

Prime factors of 3280 are 2, 5, 41. Prime factorization of 3280 in exponential form is:

3280 = 2⁴ × 5¹ × 41¹

Step-3: Factors of 3274

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

1, 2, 1637

Step-4: Factors of 3280

List of positive integer factors of 3280 that divides 3274 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3274 and 3280. The biggest common factor number is the GCF number.
So the greatest common factor 3274 and 3280 is 2.

Also check out the Least Common Multiple of 3274 and 3280