What is the Greatest Common Factor of 13353 and 13371?

Greatest common factor (GCF) of 13353 and 13371 is 3.

GCF(13353,13371) = 3

We will now calculate the prime factors of 13353 and 13371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13353 and 13371.

How to find the GCF of 13353 and 13371?

We will first find the prime factorization of 13353 and 13371. After we will calculate the factors of 13353 and 13371 and find the biggest common factor number .

Step-1: Prime Factorization of 13353

Prime factors of 13353 are 3, 4451. Prime factorization of 13353 in exponential form is:

13353 = 3¹ × 4451¹

Step-2: Prime Factorization of 13371

Prime factors of 13371 are 3, 4457. Prime factorization of 13371 in exponential form is:

13371 = 3¹ × 4457¹

Step-3: Factors of 13353

List of positive integer factors of 13353 that divides 13353 without a remainder.

1, 3, 4451

Step-4: Factors of 13371

List of positive integer factors of 13371 that divides 13353 without a remainder.

1, 3, 4457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13353 and 13371. The biggest common factor number is the GCF number.
So the greatest common factor 13353 and 13371 is 3.

Also check out the Least Common Multiple of 13353 and 13371