What is the Greatest Common Factor of 33280 and 33287?

Greatest common factor (GCF) of 33280 and 33287 is 1.

GCF(33280,33287) = 1

We will now calculate the prime factors of 33280 and 33287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33280 and 33287.

How to find the GCF of 33280 and 33287?

We will first find the prime factorization of 33280 and 33287. After we will calculate the factors of 33280 and 33287 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 33287

Prime factors of 33287 are 33287. Prime factorization of 33287 in exponential form is:

33287 = 33287¹

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 33287

List of positive integer factors of 33287 that divides 33280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33280 and 33287. The biggest common factor number is the GCF number.
So the greatest common factor 33280 and 33287 is 1.

Also check out the Least Common Multiple of 33280 and 33287