What is the Greatest Common Factor of 3240 and 3255?

Greatest common factor (GCF) of 3240 and 3255 is 15.

GCF(3240,3255) = 15

We will now calculate the prime factors of 3240 and 3255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3240 and 3255.

How to find the GCF of 3240 and 3255?

We will first find the prime factorization of 3240 and 3255. After we will calculate the factors of 3240 and 3255 and find the biggest common factor number .

Step-1: Prime Factorization of 3240

Prime factors of 3240 are 2, 3, 5. Prime factorization of 3240 in exponential form is:

3240 = 2³ × 3⁴ × 5¹

Step-2: 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-3: Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620

Step-4: Factors of 3255

List of positive integer factors of 3255 that divides 3240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3240 and 3255. The biggest common factor number is the GCF number.
So the greatest common factor 3240 and 3255 is 15.

Also check out the Least Common Multiple of 3240 and 3255