What is the Greatest Common Factor of 33280 and 33290?

Greatest common factor (GCF) of 33280 and 33290 is 10.

GCF(33280,33290) = 10

We will now calculate the prime factors of 33280 and 33290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33280 and 33290.

How to find the GCF of 33280 and 33290?

We will first find the prime factorization of 33280 and 33290. After we will calculate the factors of 33280 and 33290 and find the biggest common factor number .

Step-1: Prime Factorization of 33280

Prime factors of 33280 are 2, 5, 13. Prime factorization of 33280 in exponential form is:

33280 = 2⁹ × 5¹ × 13¹

Step-2: Prime Factorization of 33290

Prime factors of 33290 are 2, 5, 3329. Prime factorization of 33290 in exponential form is:

33290 = 2¹ × 5¹ × 3329¹

Step-3: Factors of 33280

List of positive integer factors of 33280 that divides 33280 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 512, 520, 640, 832, 1040, 1280, 1664, 2080, 2560, 3328, 4160, 6656, 8320, 16640

Step-4: Factors of 33290

List of positive integer factors of 33290 that divides 33280 without a remainder.

1, 2, 5, 10, 3329, 6658, 16645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33280 and 33290. The biggest common factor number is the GCF number.
So the greatest common factor 33280 and 33290 is 10.

Also check out the Least Common Multiple of 33280 and 33290