What is the Greatest Common Factor of 33225 and 33240?

Greatest common factor (GCF) of 33225 and 33240 is 15.

GCF(33225,33240) = 15

We will now calculate the prime factors of 33225 and 33240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33225 and 33240.

How to find the GCF of 33225 and 33240?

We will first find the prime factorization of 33225 and 33240. After we will calculate the factors of 33225 and 33240 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 33240

Prime factors of 33240 are 2, 3, 5, 277. Prime factorization of 33240 in exponential form is:

33240 = 2³ × 3¹ × 5¹ × 277¹

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 33240

List of positive integer factors of 33240 that divides 33225 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33225 and 33240. The biggest common factor number is the GCF number.
So the greatest common factor 33225 and 33240 is 15.

Also check out the Least Common Multiple of 33225 and 33240