What is the Greatest Common Factor of 3365 and 3380?

Greatest common factor (GCF) of 3365 and 3380 is 5.

GCF(3365,3380) = 5

We will now calculate the prime factors of 3365 and 3380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3365 and 3380.

How to find the GCF of 3365 and 3380?

We will first find the prime factorization of 3365 and 3380. After we will calculate the factors of 3365 and 3380 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 3380

Prime factors of 3380 are 2, 5, 13. Prime factorization of 3380 in exponential form is:

3380 = 2² × 5¹ × 13²

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 3380

List of positive integer factors of 3380 that divides 3365 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3365 and 3380. The biggest common factor number is the GCF number.
So the greatest common factor 3365 and 3380 is 5.

Also check out the Least Common Multiple of 3365 and 3380