What is the Greatest Common Factor of 33060 and 33072?

Greatest common factor (GCF) of 33060 and 33072 is 12.

GCF(33060,33072) = 12

We will now calculate the prime factors of 33060 and 33072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33060 and 33072.

How to find the GCF of 33060 and 33072?

We will first find the prime factorization of 33060 and 33072. After we will calculate the factors of 33060 and 33072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33072

Prime factors of 33072 are 2, 3, 13, 53. Prime factorization of 33072 in exponential form is:

33072 = 2⁴ × 3¹ × 13¹ × 53¹

Step-3: Factors of 33060

List of positive integer factors of 33060 that divides 33060 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

Step-4: Factors of 33072

List of positive integer factors of 33072 that divides 33060 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 53, 78, 104, 106, 156, 159, 208, 212, 312, 318, 424, 624, 636, 689, 848, 1272, 1378, 2067, 2544, 2756, 4134, 5512, 8268, 11024, 16536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33060 and 33072. The biggest common factor number is the GCF number.
So the greatest common factor 33060 and 33072 is 12.

Also check out the Least Common Multiple of 33060 and 33072