What is the Greatest Common Factor of 33075 and 33082?

Greatest common factor (GCF) of 33075 and 33082 is 7.

GCF(33075,33082) = 7

We will now calculate the prime factors of 33075 and 33082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33075 and 33082.

How to find the GCF of 33075 and 33082?

We will first find the prime factorization of 33075 and 33082. After we will calculate the factors of 33075 and 33082 and find the biggest common factor number .

Step-1: Prime Factorization of 33075

Prime factors of 33075 are 3, 5, 7. Prime factorization of 33075 in exponential form is:

33075 = 3³ × 5² × 7²

Step-2: Prime Factorization of 33082

Prime factors of 33082 are 2, 7, 17, 139. Prime factorization of 33082 in exponential form is:

33082 = 2¹ × 7¹ × 17¹ × 139¹

Step-3: Factors of 33075

List of positive integer factors of 33075 that divides 33075 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 49, 63, 75, 105, 135, 147, 175, 189, 225, 245, 315, 441, 525, 675, 735, 945, 1225, 1323, 1575, 2205, 3675, 4725, 6615, 11025

Step-4: Factors of 33082

List of positive integer factors of 33082 that divides 33075 without a remainder.

1, 2, 7, 14, 17, 34, 119, 139, 238, 278, 973, 1946, 2363, 4726, 16541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33075 and 33082. The biggest common factor number is the GCF number.
So the greatest common factor 33075 and 33082 is 7.

Also check out the Least Common Multiple of 33075 and 33082