What is the Greatest Common Factor of 3365 and 3375?

Greatest common factor (GCF) of 3365 and 3375 is 5.

GCF(3365,3375) = 5

We will now calculate the prime factors of 3365 and 3375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3365 and 3375.

How to find the GCF of 3365 and 3375?

We will first find the prime factorization of 3365 and 3375. After we will calculate the factors of 3365 and 3375 and find the biggest common factor number .

Step-1: Prime Factorization of 3365

Prime factors of 3365 are 5, 673. Prime factorization of 3365 in exponential form is:

3365 = 5¹ × 673¹

Step-2: Prime Factorization of 3375

Prime factors of 3375 are 3, 5. Prime factorization of 3375 in exponential form is:

3375 = 3³ × 5³

Step-3: Factors of 3365

List of positive integer factors of 3365 that divides 3365 without a remainder.

1, 5, 673

Step-4: Factors of 3375

List of positive integer factors of 3375 that divides 3365 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3365 and 3375. The biggest common factor number is the GCF number.
So the greatest common factor 3365 and 3375 is 5.

Also check out the Least Common Multiple of 3365 and 3375