What is the Greatest Common Factor of 3360 and 3365?

Greatest common factor (GCF) of 3360 and 3365 is 5.

GCF(3360,3365) = 5

We will now calculate the prime factors of 3360 and 3365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3360 and 3365.

How to find the GCF of 3360 and 3365?

We will first find the prime factorization of 3360 and 3365. After we will calculate the factors of 3360 and 3365 and find the biggest common factor number .

Step-1: Prime Factorization of 3360

Prime factors of 3360 are 2, 3, 5, 7. Prime factorization of 3360 in exponential form is:

3360 = 2⁵ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 3365

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

3365 = 5¹ × 673¹

Step-3: Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680

Step-4: Factors of 3365

List of positive integer factors of 3365 that divides 3360 without a remainder.

1, 5, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3360 and 3365. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3365 is 5.

Also check out the Least Common Multiple of 3360 and 3365