What is the Greatest Common Factor of 33030 and 33045?

Greatest common factor (GCF) of 33030 and 33045 is 15.

GCF(33030,33045) = 15

We will now calculate the prime factors of 33030 and 33045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33030 and 33045.

How to find the GCF of 33030 and 33045?

We will first find the prime factorization of 33030 and 33045. After we will calculate the factors of 33030 and 33045 and find the biggest common factor number .

Step-1: Prime Factorization of 33030

Prime factors of 33030 are 2, 3, 5, 367. Prime factorization of 33030 in exponential form is:

33030 = 2¹ × 3² × 5¹ × 367¹

Step-2: Prime Factorization of 33045

Prime factors of 33045 are 3, 5, 2203. Prime factorization of 33045 in exponential form is:

33045 = 3¹ × 5¹ × 2203¹

Step-3: Factors of 33030

List of positive integer factors of 33030 that divides 33030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 367, 734, 1101, 1835, 2202, 3303, 3670, 5505, 6606, 11010, 16515

Step-4: Factors of 33045

List of positive integer factors of 33045 that divides 33030 without a remainder.

1, 3, 5, 15, 2203, 6609, 11015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33030 and 33045. The biggest common factor number is the GCF number.
So the greatest common factor 33030 and 33045 is 15.

Also check out the Least Common Multiple of 33030 and 33045