What is the Greatest Common Factor of 3255 and 3265?

Greatest common factor (GCF) of 3255 and 3265 is 5.

GCF(3255,3265) = 5

We will now calculate the prime factors of 3255 and 3265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3255 and 3265.

How to find the GCF of 3255 and 3265?

We will first find the prime factorization of 3255 and 3265. After we will calculate the factors of 3255 and 3265 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 3265

Prime factors of 3265 are 5, 653. Prime factorization of 3265 in exponential form is:

3265 = 5¹ × 653¹

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 3265

List of positive integer factors of 3265 that divides 3255 without a remainder.

1, 5, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3255 and 3265. The biggest common factor number is the GCF number.
So the greatest common factor 3255 and 3265 is 5.

Also check out the Least Common Multiple of 3255 and 3265