What is the Greatest Common Factor of 33240 and 33255?

Greatest common factor (GCF) of 33240 and 33255 is 15.

GCF(33240,33255) = 15

We will now calculate the prime factors of 33240 and 33255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33240 and 33255.

How to find the GCF of 33240 and 33255?

We will first find the prime factorization of 33240 and 33255. After we will calculate the factors of 33240 and 33255 and find the biggest common factor number .

Step-1: Prime Factorization of 33240

Prime factors of 33240 are 2, 3, 5, 277. Prime factorization of 33240 in exponential form is:

33240 = 2³ × 3¹ × 5¹ × 277¹

Step-2: Prime Factorization of 33255

Prime factors of 33255 are 3, 5, 739. Prime factorization of 33255 in exponential form is:

33255 = 3² × 5¹ × 739¹

Step-3: Factors of 33240

List of positive integer factors of 33240 that divides 33240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620

Step-4: Factors of 33255

List of positive integer factors of 33255 that divides 33240 without a remainder.

1, 3, 5, 9, 15, 45, 739, 2217, 3695, 6651, 11085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33240 and 33255. The biggest common factor number is the GCF number.
So the greatest common factor 33240 and 33255 is 15.

Also check out the Least Common Multiple of 33240 and 33255