What is the Greatest Common Factor of 3336 and 3348?

Greatest common factor (GCF) of 3336 and 3348 is 12.

GCF(3336,3348) = 12

We will now calculate the prime factors of 3336 and 3348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3336 and 3348.

How to find the GCF of 3336 and 3348?

We will first find the prime factorization of 3336 and 3348. After we will calculate the factors of 3336 and 3348 and find the biggest common factor number .

Step-1: Prime Factorization of 3336

Prime factors of 3336 are 2, 3, 139. Prime factorization of 3336 in exponential form is:

3336 = 2³ × 3¹ × 139¹

Step-2: Prime Factorization of 3348

Prime factors of 3348 are 2, 3, 31. Prime factorization of 3348 in exponential form is:

3348 = 2² × 3³ × 31¹

Step-3: Factors of 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668

Step-4: Factors of 3348

List of positive integer factors of 3348 that divides 3336 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3336 and 3348. The biggest common factor number is the GCF number.
So the greatest common factor 3336 and 3348 is 12.

Also check out the Least Common Multiple of 3336 and 3348