What is the Greatest Common Factor of 33225 and 33245?

Greatest common factor (GCF) of 33225 and 33245 is 5.

GCF(33225,33245) = 5

We will now calculate the prime factors of 33225 and 33245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33225 and 33245.

How to find the GCF of 33225 and 33245?

We will first find the prime factorization of 33225 and 33245. After we will calculate the factors of 33225 and 33245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33245

Prime factors of 33245 are 5, 61, 109. Prime factorization of 33245 in exponential form is:

33245 = 5¹ × 61¹ × 109¹

Step-3: Factors of 33225

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

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

Step-4: Factors of 33245

List of positive integer factors of 33245 that divides 33225 without a remainder.

1, 5, 61, 109, 305, 545, 6649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33225 and 33245. The biggest common factor number is the GCF number.
So the greatest common factor 33225 and 33245 is 5.

Also check out the Least Common Multiple of 33225 and 33245