What is the Greatest Common Factor of 33256 and 33275?

Greatest common factor (GCF) of 33256 and 33275 is 1.

GCF(33256,33275) = 1

We will now calculate the prime factors of 33256 and 33275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33256 and 33275.

How to find the GCF of 33256 and 33275?

We will first find the prime factorization of 33256 and 33275. After we will calculate the factors of 33256 and 33275 and find the biggest common factor number .

Step-1: Prime Factorization of 33256

Prime factors of 33256 are 2, 4157. Prime factorization of 33256 in exponential form is:

33256 = 2³ × 4157¹

Step-2: Prime Factorization of 33275

Prime factors of 33275 are 5, 11. Prime factorization of 33275 in exponential form is:

33275 = 5² × 11³

Step-3: Factors of 33256

List of positive integer factors of 33256 that divides 33256 without a remainder.

1, 2, 4, 8, 4157, 8314, 16628

Step-4: Factors of 33275

List of positive integer factors of 33275 that divides 33256 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605, 1331, 3025, 6655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33256 and 33275. The biggest common factor number is the GCF number.
So the greatest common factor 33256 and 33275 is 1.

Also check out the Least Common Multiple of 33256 and 33275