What is the Greatest Common Factor of 33255 and 33260?

Greatest common factor (GCF) of 33255 and 33260 is 5.

GCF(33255,33260) = 5

We will now calculate the prime factors of 33255 and 33260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33255 and 33260.

How to find the GCF of 33255 and 33260?

We will first find the prime factorization of 33255 and 33260. After we will calculate the factors of 33255 and 33260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33260

Prime factors of 33260 are 2, 5, 1663. Prime factorization of 33260 in exponential form is:

33260 = 2² × 5¹ × 1663¹

Step-3: Factors of 33255

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

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

Step-4: Factors of 33260

List of positive integer factors of 33260 that divides 33255 without a remainder.

1, 2, 4, 5, 10, 20, 1663, 3326, 6652, 8315, 16630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33255 and 33260. The biggest common factor number is the GCF number.
So the greatest common factor 33255 and 33260 is 5.

Also check out the Least Common Multiple of 33255 and 33260