What is the Greatest Common Factor of 33213 and 33225?

Greatest common factor (GCF) of 33213 and 33225 is 3.

GCF(33213,33225) = 3

We will now calculate the prime factors of 33213 and 33225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33213 and 33225.

How to find the GCF of 33213 and 33225?

We will first find the prime factorization of 33213 and 33225. After we will calculate the factors of 33213 and 33225 and find the biggest common factor number .

Step-1: Prime Factorization of 33213

Prime factors of 33213 are 3, 11071. Prime factorization of 33213 in exponential form is:

33213 = 3¹ × 11071¹

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 33213

List of positive integer factors of 33213 that divides 33213 without a remainder.

1, 3, 11071

Step-4: Factors of 33225

List of positive integer factors of 33225 that divides 33213 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 33213 and 33225. The biggest common factor number is the GCF number.
So the greatest common factor 33213 and 33225 is 3.

Also check out the Least Common Multiple of 33213 and 33225