What is the Greatest Common Factor of 3270 and 3285?

Greatest common factor (GCF) of 3270 and 3285 is 15.

GCF(3270,3285) = 15

We will now calculate the prime factors of 3270 and 3285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3270 and 3285.

How to find the GCF of 3270 and 3285?

We will first find the prime factorization of 3270 and 3285. After we will calculate the factors of 3270 and 3285 and find the biggest common factor number .

Step-1: Prime Factorization of 3270

Prime factors of 3270 are 2, 3, 5, 109. Prime factorization of 3270 in exponential form is:

3270 = 2¹ × 3¹ × 5¹ × 109¹

Step-2: 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-3: Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635

Step-4: Factors of 3285

List of positive integer factors of 3285 that divides 3270 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3270 and 3285. The biggest common factor number is the GCF number.
So the greatest common factor 3270 and 3285 is 15.

Also check out the Least Common Multiple of 3270 and 3285