What is the Greatest Common Factor of 33205 and 33225?

Greatest common factor (GCF) of 33205 and 33225 is 5.

GCF(33205,33225) = 5

We will now calculate the prime factors of 33205 and 33225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33205 and 33225.

How to find the GCF of 33205 and 33225?

We will first find the prime factorization of 33205 and 33225. After we will calculate the factors of 33205 and 33225 and find the biggest common factor number .

Step-1: Prime Factorization of 33205

Prime factors of 33205 are 5, 29, 229. Prime factorization of 33205 in exponential form is:

33205 = 5¹ × 29¹ × 229¹

Step-2: Prime Factorization of 33225

Prime factors of 33225 are 3, 5, 443. Prime factorization of 33225 in exponential form is:

33225 = 3¹ × 5² × 443¹

Step-3: Factors of 33205

List of positive integer factors of 33205 that divides 33205 without a remainder.

1, 5, 29, 145, 229, 1145, 6641

Step-4: Factors of 33225

List of positive integer factors of 33225 that divides 33205 without a remainder.

1, 3, 5, 15, 25, 75, 443, 1329, 2215, 6645, 11075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33205 and 33225. The biggest common factor number is the GCF number.
So the greatest common factor 33205 and 33225 is 5.

Also check out the Least Common Multiple of 33205 and 33225