What is the Greatest Common Factor of 3285 and 3300?

Greatest common factor (GCF) of 3285 and 3300 is 15.

GCF(3285,3300) = 15

We will now calculate the prime factors of 3285 and 3300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3285 and 3300.

How to find the GCF of 3285 and 3300?

We will first find the prime factorization of 3285 and 3300. After we will calculate the factors of 3285 and 3300 and find the biggest common factor number .

Step-1: Prime Factorization of 3285

Prime factors of 3285 are 3, 5, 73. Prime factorization of 3285 in exponential form is:

3285 = 3² × 5¹ × 73¹

Step-2: Prime Factorization of 3300

Prime factors of 3300 are 2, 3, 5, 11. Prime factorization of 3300 in exponential form is:

3300 = 2² × 3¹ × 5² × 11¹

Step-3: Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095

Step-4: Factors of 3300

List of positive integer factors of 3300 that divides 3285 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3285 and 3300. The biggest common factor number is the GCF number.
So the greatest common factor 3285 and 3300 is 15.

Also check out the Least Common Multiple of 3285 and 3300