What is the Greatest Common Factor of 3255 and 3267?

Greatest common factor (GCF) of 3255 and 3267 is 3.

GCF(3255,3267) = 3

We will now calculate the prime factors of 3255 and 3267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3255 and 3267.

How to find the GCF of 3255 and 3267?

We will first find the prime factorization of 3255 and 3267. After we will calculate the factors of 3255 and 3267 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 3267

Prime factors of 3267 are 3, 11. Prime factorization of 3267 in exponential form is:

3267 = 3³ × 11²

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 3267

List of positive integer factors of 3267 that divides 3255 without a remainder.

1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3255 and 3267. The biggest common factor number is the GCF number.
So the greatest common factor 3255 and 3267 is 3.

Also check out the Least Common Multiple of 3255 and 3267