What is the Greatest Common Factor of 33270 and 33285?

Greatest common factor (GCF) of 33270 and 33285 is 15.

GCF(33270,33285) = 15

We will now calculate the prime factors of 33270 and 33285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33270 and 33285.

How to find the GCF of 33270 and 33285?

We will first find the prime factorization of 33270 and 33285. After we will calculate the factors of 33270 and 33285 and find the biggest common factor number .

Step-1: Prime Factorization of 33270

Prime factors of 33270 are 2, 3, 5, 1109. Prime factorization of 33270 in exponential form is:

33270 = 2¹ × 3¹ × 5¹ × 1109¹

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 33270

List of positive integer factors of 33270 that divides 33270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1109, 2218, 3327, 5545, 6654, 11090, 16635

Step-4: Factors of 33285

List of positive integer factors of 33285 that divides 33270 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 33270 and 33285. The biggest common factor number is the GCF number.
So the greatest common factor 33270 and 33285 is 15.

Also check out the Least Common Multiple of 33270 and 33285