What is the Greatest Common Factor of 3333 and 3341?

Greatest common factor (GCF) of 3333 and 3341 is 1.

GCF(3333,3341) = 1

We will now calculate the prime factors of 3333 and 3341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3333 and 3341.

How to find the GCF of 3333 and 3341?

We will first find the prime factorization of 3333 and 3341. After we will calculate the factors of 3333 and 3341 and find the biggest common factor number .

Step-1: Prime Factorization of 3333

Prime factors of 3333 are 3, 11, 101. Prime factorization of 3333 in exponential form is:

3333 = 3¹ × 11¹ × 101¹

Step-2: Prime Factorization of 3341

Prime factors of 3341 are 13, 257. Prime factorization of 3341 in exponential form is:

3341 = 13¹ × 257¹

Step-3: Factors of 3333

List of positive integer factors of 3333 that divides 3333 without a remainder.

1, 3, 11, 33, 101, 303, 1111

Step-4: Factors of 3341

List of positive integer factors of 3341 that divides 3333 without a remainder.

1, 13, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3333 and 3341. The biggest common factor number is the GCF number.
So the greatest common factor 3333 and 3341 is 1.

Also check out the Least Common Multiple of 3333 and 3341