What is the Greatest Common Factor of 33225 and 33235?

Greatest common factor (GCF) of 33225 and 33235 is 5.

GCF(33225,33235) = 5

We will now calculate the prime factors of 33225 and 33235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33225 and 33235.

How to find the GCF of 33225 and 33235?

We will first find the prime factorization of 33225 and 33235. After we will calculate the factors of 33225 and 33235 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 33235

Prime factors of 33235 are 5, 17, 23. Prime factorization of 33235 in exponential form is:

33235 = 5¹ × 17² × 23¹

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 33235

List of positive integer factors of 33235 that divides 33225 without a remainder.

1, 5, 17, 23, 85, 115, 289, 391, 1445, 1955, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33225 and 33235. The biggest common factor number is the GCF number.
So the greatest common factor 33225 and 33235 is 5.

Also check out the Least Common Multiple of 33225 and 33235