What is the Greatest Common Factor of 33280 and 33294?

Greatest common factor (GCF) of 33280 and 33294 is 2.

GCF(33280,33294) = 2

We will now calculate the prime factors of 33280 and 33294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33280 and 33294.

How to find the GCF of 33280 and 33294?

We will first find the prime factorization of 33280 and 33294. After we will calculate the factors of 33280 and 33294 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 33294

Prime factors of 33294 are 2, 3, 31, 179. Prime factorization of 33294 in exponential form is:

33294 = 2¹ × 3¹ × 31¹ × 179¹

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 33294

List of positive integer factors of 33294 that divides 33280 without a remainder.

1, 2, 3, 6, 31, 62, 93, 179, 186, 358, 537, 1074, 5549, 11098, 16647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33280 and 33294. The biggest common factor number is the GCF number.
So the greatest common factor 33280 and 33294 is 2.

Also check out the Least Common Multiple of 33280 and 33294