What is the Greatest Common Factor of 33042 and 33060?

Greatest common factor (GCF) of 33042 and 33060 is 6.

GCF(33042,33060) = 6

We will now calculate the prime factors of 33042 and 33060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33042 and 33060.

How to find the GCF of 33042 and 33060?

We will first find the prime factorization of 33042 and 33060. After we will calculate the factors of 33042 and 33060 and find the biggest common factor number .

Step-1: Prime Factorization of 33042

Prime factors of 33042 are 2, 3, 5507. Prime factorization of 33042 in exponential form is:

33042 = 2¹ × 3¹ × 5507¹

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 33042

List of positive integer factors of 33042 that divides 33042 without a remainder.

1, 2, 3, 6, 5507, 11014, 16521

Step-4: Factors of 33060

List of positive integer factors of 33060 that divides 33042 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 33042 and 33060. The biggest common factor number is the GCF number.
So the greatest common factor 33042 and 33060 is 6.

Also check out the Least Common Multiple of 33042 and 33060