What is the Greatest Common Factor of 3305 and 3325?

Greatest common factor (GCF) of 3305 and 3325 is 5.

GCF(3305,3325) = 5

We will now calculate the prime factors of 3305 and 3325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3305 and 3325.

How to find the GCF of 3305 and 3325?

We will first find the prime factorization of 3305 and 3325. After we will calculate the factors of 3305 and 3325 and find the biggest common factor number .

Step-1: Prime Factorization of 3305

Prime factors of 3305 are 5, 661. Prime factorization of 3305 in exponential form is:

3305 = 5¹ × 661¹

Step-2: Prime Factorization of 3325

Prime factors of 3325 are 5, 7, 19. Prime factorization of 3325 in exponential form is:

3325 = 5² × 7¹ × 19¹

Step-3: Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1, 5, 661

Step-4: Factors of 3325

List of positive integer factors of 3325 that divides 3305 without a remainder.

1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3305 and 3325. The biggest common factor number is the GCF number.
So the greatest common factor 3305 and 3325 is 5.

Also check out the Least Common Multiple of 3305 and 3325