What is the Greatest Common Factor of 33271 and 33280?

Greatest common factor (GCF) of 33271 and 33280 is 1.

GCF(33271,33280) = 1

We will now calculate the prime factors of 33271 and 33280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33271 and 33280.

How to find the GCF of 33271 and 33280?

We will first find the prime factorization of 33271 and 33280. After we will calculate the factors of 33271 and 33280 and find the biggest common factor number .

Step-1: Prime Factorization of 33271

Prime factors of 33271 are 7, 97. Prime factorization of 33271 in exponential form is:

33271 = 7³ × 97¹

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 33271

List of positive integer factors of 33271 that divides 33271 without a remainder.

1, 7, 49, 97, 343, 679, 4753

Step-4: Factors of 33280

List of positive integer factors of 33280 that divides 33271 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 33271 and 33280. The biggest common factor number is the GCF number.
So the greatest common factor 33271 and 33280 is 1.

Also check out the Least Common Multiple of 33271 and 33280