What is the Greatest Common Factor of 3255 and 3273?

Greatest common factor (GCF) of 3255 and 3273 is 3.

GCF(3255,3273) = 3

We will now calculate the prime factors of 3255 and 3273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3255 and 3273.

How to find the GCF of 3255 and 3273?

We will first find the prime factorization of 3255 and 3273. After we will calculate the factors of 3255 and 3273 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 3273

Prime factors of 3273 are 3, 1091. Prime factorization of 3273 in exponential form is:

3273 = 3¹ × 1091¹

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 3273

List of positive integer factors of 3273 that divides 3255 without a remainder.

1, 3, 1091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3255 and 3273. The biggest common factor number is the GCF number.
So the greatest common factor 3255 and 3273 is 3.

Also check out the Least Common Multiple of 3255 and 3273