What is the Greatest Common Factor of 3345 and 3355?

Greatest common factor (GCF) of 3345 and 3355 is 5.

GCF(3345,3355) = 5

We will now calculate the prime factors of 3345 and 3355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3345 and 3355.

How to find the GCF of 3345 and 3355?

We will first find the prime factorization of 3345 and 3355. After we will calculate the factors of 3345 and 3355 and find the biggest common factor number .

Step-1: Prime Factorization of 3345

Prime factors of 3345 are 3, 5, 223. Prime factorization of 3345 in exponential form is:

3345 = 3¹ × 5¹ × 223¹

Step-2: Prime Factorization of 3355

Prime factors of 3355 are 5, 11, 61. Prime factorization of 3355 in exponential form is:

3355 = 5¹ × 11¹ × 61¹

Step-3: Factors of 3345

List of positive integer factors of 3345 that divides 3345 without a remainder.

1, 3, 5, 15, 223, 669, 1115

Step-4: Factors of 3355

List of positive integer factors of 3355 that divides 3345 without a remainder.

1, 5, 11, 55, 61, 305, 671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3345 and 3355. The biggest common factor number is the GCF number.
So the greatest common factor 3345 and 3355 is 5.

Also check out the Least Common Multiple of 3345 and 3355