What is the Greatest Common Factor of 33267 and 33280?

Greatest common factor (GCF) of 33267 and 33280 is 13.

GCF(33267,33280) = 13

We will now calculate the prime factors of 33267 and 33280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33267 and 33280.

How to find the GCF of 33267 and 33280?

We will first find the prime factorization of 33267 and 33280. After we will calculate the factors of 33267 and 33280 and find the biggest common factor number .

Step-1: Prime Factorization of 33267

Prime factors of 33267 are 3, 13, 853. Prime factorization of 33267 in exponential form is:

33267 = 3¹ × 13¹ × 853¹

Step-2: 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-3: Factors of 33267

List of positive integer factors of 33267 that divides 33267 without a remainder.

1, 3, 13, 39, 853, 2559, 11089

Step-4: Factors of 33280

List of positive integer factors of 33280 that divides 33267 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33267 and 33280. The biggest common factor number is the GCF number.
So the greatest common factor 33267 and 33280 is 13.

Also check out the Least Common Multiple of 33267 and 33280