What is the Greatest Common Factor of 3255 and 3270?

Greatest common factor (GCF) of 3255 and 3270 is 15.

GCF(3255,3270) = 15

We will now calculate the prime factors of 3255 and 3270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3255 and 3270.

How to find the GCF of 3255 and 3270?

We will first find the prime factorization of 3255 and 3270. After we will calculate the factors of 3255 and 3270 and find the biggest common factor number .

Step-1: Prime Factorization of 3255

Prime factors of 3255 are 3, 5, 7, 31. Prime factorization of 3255 in exponential form is:

3255 = 3¹ × 5¹ × 7¹ × 31¹

Step-2: 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-3: Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085

Step-4: Factors of 3270

List of positive integer factors of 3270 that divides 3255 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3255 and 3270. The biggest common factor number is the GCF number.
So the greatest common factor 3255 and 3270 is 15.

Also check out the Least Common Multiple of 3255 and 3270