What is the Greatest Common Factor of 3265 and 3280?

Greatest common factor (GCF) of 3265 and 3280 is 5.

GCF(3265,3280) = 5

We will now calculate the prime factors of 3265 and 3280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3265 and 3280.

How to find the GCF of 3265 and 3280?

We will first find the prime factorization of 3265 and 3280. After we will calculate the factors of 3265 and 3280 and find the biggest common factor number .

Step-1: Prime Factorization of 3265

Prime factors of 3265 are 5, 653. Prime factorization of 3265 in exponential form is:

3265 = 5¹ × 653¹

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 3265

List of positive integer factors of 3265 that divides 3265 without a remainder.

1, 5, 653

Step-4: Factors of 3280

List of positive integer factors of 3280 that divides 3265 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 3265 and 3280. The biggest common factor number is the GCF number.
So the greatest common factor 3265 and 3280 is 5.

Also check out the Least Common Multiple of 3265 and 3280