What is the Greatest Common Factor of 3348 and 3353?

Greatest common factor (GCF) of 3348 and 3353 is 1.

GCF(3348,3353) = 1

We will now calculate the prime factors of 3348 and 3353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3348 and 3353.

How to find the GCF of 3348 and 3353?

We will first find the prime factorization of 3348 and 3353. After we will calculate the factors of 3348 and 3353 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3353

Prime factors of 3353 are 7, 479. Prime factorization of 3353 in exponential form is:

3353 = 7¹ × 479¹

Step-3: Factors of 3348

List of positive integer factors of 3348 that divides 3348 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

Step-4: Factors of 3353

List of positive integer factors of 3353 that divides 3348 without a remainder.

1, 7, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3348 and 3353. The biggest common factor number is the GCF number.
So the greatest common factor 3348 and 3353 is 1.

Also check out the Least Common Multiple of 3348 and 3353