What is the Greatest Common Factor of 33275 and 33285?

Greatest common factor (GCF) of 33275 and 33285 is 5.

GCF(33275,33285) = 5

We will now calculate the prime factors of 33275 and 33285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33275 and 33285.

How to find the GCF of 33275 and 33285?

We will first find the prime factorization of 33275 and 33285. After we will calculate the factors of 33275 and 33285 and find the biggest common factor number .

Step-1: Prime Factorization of 33275

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

33275 = 5² × 11³

Step-2: Prime Factorization of 33285

Prime factors of 33285 are 3, 5, 7, 317. Prime factorization of 33285 in exponential form is:

33285 = 3¹ × 5¹ × 7¹ × 317¹

Step-3: Factors of 33275

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

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

Step-4: Factors of 33285

List of positive integer factors of 33285 that divides 33275 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 317, 951, 1585, 2219, 4755, 6657, 11095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33275 and 33285. The biggest common factor number is the GCF number.
So the greatest common factor 33275 and 33285 is 5.

Also check out the Least Common Multiple of 33275 and 33285