What is the Greatest Common Factor of 33265 and 33270?

Greatest common factor (GCF) of 33265 and 33270 is 5.

GCF(33265,33270) = 5

We will now calculate the prime factors of 33265 and 33270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33265 and 33270.

How to find the GCF of 33265 and 33270?

We will first find the prime factorization of 33265 and 33270. After we will calculate the factors of 33265 and 33270 and find the biggest common factor number .

Step-1: Prime Factorization of 33265

Prime factors of 33265 are 5, 6653. Prime factorization of 33265 in exponential form is:

33265 = 5¹ × 6653¹

Step-2: 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-3: Factors of 33265

List of positive integer factors of 33265 that divides 33265 without a remainder.

1, 5, 6653

Step-4: Factors of 33270

List of positive integer factors of 33270 that divides 33265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33265 and 33270. The biggest common factor number is the GCF number.
So the greatest common factor 33265 and 33270 is 5.

Also check out the Least Common Multiple of 33265 and 33270