What is the Greatest Common Factor of 33282 and 33300?

Greatest common factor (GCF) of 33282 and 33300 is 18.

GCF(33282,33300) = 18

We will now calculate the prime factors of 33282 and 33300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33282 and 33300.

How to find the GCF of 33282 and 33300?

We will first find the prime factorization of 33282 and 33300. After we will calculate the factors of 33282 and 33300 and find the biggest common factor number .

Step-1: Prime Factorization of 33282

Prime factors of 33282 are 2, 3, 43. Prime factorization of 33282 in exponential form is:

33282 = 2¹ × 3² × 43²

Step-2: Prime Factorization of 33300

Prime factors of 33300 are 2, 3, 5, 37. Prime factorization of 33300 in exponential form is:

33300 = 2² × 3² × 5² × 37¹

Step-3: Factors of 33282

List of positive integer factors of 33282 that divides 33282 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774, 1849, 3698, 5547, 11094, 16641

Step-4: Factors of 33300

List of positive integer factors of 33300 that divides 33282 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 37, 45, 50, 60, 74, 75, 90, 100, 111, 148, 150, 180, 185, 222, 225, 300, 333, 370, 444, 450, 555, 666, 740, 900, 925, 1110, 1332, 1665, 1850, 2220, 2775, 3330, 3700, 5550, 6660, 8325, 11100, 16650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33282 and 33300. The biggest common factor number is the GCF number.
So the greatest common factor 33282 and 33300 is 18.

Also check out the Least Common Multiple of 33282 and 33300