What is the Greatest Common Factor of 33275 and 33290?

Greatest common factor (GCF) of 33275 and 33290 is 5.

GCF(33275,33290) = 5

We will now calculate the prime factors of 33275 and 33290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33275 and 33290.

How to find the GCF of 33275 and 33290?

We will first find the prime factorization of 33275 and 33290. After we will calculate the factors of 33275 and 33290 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 33290

Prime factors of 33290 are 2, 5, 3329. Prime factorization of 33290 in exponential form is:

33290 = 2¹ × 5¹ × 3329¹

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 33290

List of positive integer factors of 33290 that divides 33275 without a remainder.

1, 2, 5, 10, 3329, 6658, 16645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33275 and 33290. The biggest common factor number is the GCF number.
So the greatest common factor 33275 and 33290 is 5.

Also check out the Least Common Multiple of 33275 and 33290