What is the Greatest Common Factor of 13407 and 13413?

Greatest common factor (GCF) of 13407 and 13413 is 3.

GCF(13407,13413) = 3

We will now calculate the prime factors of 13407 and 13413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13407 and 13413.

How to find the GCF of 13407 and 13413?

We will first find the prime factorization of 13407 and 13413. After we will calculate the factors of 13407 and 13413 and find the biggest common factor number .

Step-1: Prime Factorization of 13407

Prime factors of 13407 are 3, 41, 109. Prime factorization of 13407 in exponential form is:

13407 = 3¹ × 41¹ × 109¹

Step-2: Prime Factorization of 13413

Prime factors of 13413 are 3, 17, 263. Prime factorization of 13413 in exponential form is:

13413 = 3¹ × 17¹ × 263¹

Step-3: Factors of 13407

List of positive integer factors of 13407 that divides 13407 without a remainder.

1, 3, 41, 109, 123, 327, 4469

Step-4: Factors of 13413

List of positive integer factors of 13413 that divides 13407 without a remainder.

1, 3, 17, 51, 263, 789, 4471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13407 and 13413. The biggest common factor number is the GCF number.
So the greatest common factor 13407 and 13413 is 3.

Also check out the Least Common Multiple of 13407 and 13413