What is the Greatest Common Factor of 33045 and 33060?

Greatest common factor (GCF) of 33045 and 33060 is 15.

GCF(33045,33060) = 15

We will now calculate the prime factors of 33045 and 33060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33045 and 33060.

How to find the GCF of 33045 and 33060?

We will first find the prime factorization of 33045 and 33060. After we will calculate the factors of 33045 and 33060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33060

Prime factors of 33060 are 2, 3, 5, 19, 29. Prime factorization of 33060 in exponential form is:

33060 = 2² × 3¹ × 5¹ × 19¹ × 29¹

Step-3: Factors of 33045

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

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

Step-4: Factors of 33060

List of positive integer factors of 33060 that divides 33045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 29, 30, 38, 57, 58, 60, 76, 87, 95, 114, 116, 145, 174, 190, 228, 285, 290, 348, 380, 435, 551, 570, 580, 870, 1102, 1140, 1653, 1740, 2204, 2755, 3306, 5510, 6612, 8265, 11020, 16530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33045 and 33060. The biggest common factor number is the GCF number.
So the greatest common factor 33045 and 33060 is 15.

Also check out the Least Common Multiple of 33045 and 33060