What is the Greatest Common Factor of 3345 and 3351?

Greatest common factor (GCF) of 3345 and 3351 is 3.

GCF(3345,3351) = 3

We will now calculate the prime factors of 3345 and 3351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3345 and 3351.

How to find the GCF of 3345 and 3351?

We will first find the prime factorization of 3345 and 3351. After we will calculate the factors of 3345 and 3351 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 3351

Prime factors of 3351 are 3, 1117. Prime factorization of 3351 in exponential form is:

3351 = 3¹ × 1117¹

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 3351

List of positive integer factors of 3351 that divides 3345 without a remainder.

1, 3, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3345 and 3351. The biggest common factor number is the GCF number.
So the greatest common factor 3345 and 3351 is 3.

Also check out the Least Common Multiple of 3345 and 3351