What is the Greatest Common Factor of 33052 and 33060?

Greatest common factor (GCF) of 33052 and 33060 is 4.

GCF(33052,33060) = 4

We will now calculate the prime factors of 33052 and 33060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33052 and 33060.

How to find the GCF of 33052 and 33060?

We will first find the prime factorization of 33052 and 33060. After we will calculate the factors of 33052 and 33060 and find the biggest common factor number .

Step-1: Prime Factorization of 33052

Prime factors of 33052 are 2, 8263. Prime factorization of 33052 in exponential form is:

33052 = 2² × 8263¹

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 33052

List of positive integer factors of 33052 that divides 33052 without a remainder.

1, 2, 4, 8263, 16526

Step-4: Factors of 33060

List of positive integer factors of 33060 that divides 33052 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 33052 and 33060. The biggest common factor number is the GCF number.
So the greatest common factor 33052 and 33060 is 4.

Also check out the Least Common Multiple of 33052 and 33060