What is the Greatest Common Factor of 13333 and 13348?

Greatest common factor (GCF) of 13333 and 13348 is 1.

GCF(13333,13348) = 1

We will now calculate the prime factors of 13333 and 13348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13333 and 13348.

How to find the GCF of 13333 and 13348?

We will first find the prime factorization of 13333 and 13348. After we will calculate the factors of 13333 and 13348 and find the biggest common factor number .

Step-1: Prime Factorization of 13333

Prime factors of 13333 are 67, 199. Prime factorization of 13333 in exponential form is:

13333 = 67¹ × 199¹

Step-2: Prime Factorization of 13348

Prime factors of 13348 are 2, 47, 71. Prime factorization of 13348 in exponential form is:

13348 = 2² × 47¹ × 71¹

Step-3: Factors of 13333

List of positive integer factors of 13333 that divides 13333 without a remainder.

1, 67, 199

Step-4: Factors of 13348

List of positive integer factors of 13348 that divides 13333 without a remainder.

1, 2, 4, 47, 71, 94, 142, 188, 284, 3337, 6674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13333 and 13348. The biggest common factor number is the GCF number.
So the greatest common factor 13333 and 13348 is 1.

Also check out the Least Common Multiple of 13333 and 13348