What is the Greatest Common Factor of 3270 and 3280?

Greatest common factor (GCF) of 3270 and 3280 is 10.

GCF(3270,3280) = 10

We will now calculate the prime factors of 3270 and 3280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3270 and 3280.

How to find the GCF of 3270 and 3280?

We will first find the prime factorization of 3270 and 3280. After we will calculate the factors of 3270 and 3280 and find the biggest common factor number .

Step-1: Prime Factorization of 3270

Prime factors of 3270 are 2, 3, 5, 109. Prime factorization of 3270 in exponential form is:

3270 = 2¹ × 3¹ × 5¹ × 109¹

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 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635

Step-4: Factors of 3280

List of positive integer factors of 3280 that divides 3270 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 3270 and 3280. The biggest common factor number is the GCF number.
So the greatest common factor 3270 and 3280 is 10.

Also check out the Least Common Multiple of 3270 and 3280