What is the Greatest Common Factor of 13431 and 13437?

Greatest common factor (GCF) of 13431 and 13437 is 3.

GCF(13431,13437) = 3

We will now calculate the prime factors of 13431 and 13437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13431 and 13437.

How to find the GCF of 13431 and 13437?

We will first find the prime factorization of 13431 and 13437. After we will calculate the factors of 13431 and 13437 and find the biggest common factor number .

Step-1: Prime Factorization of 13431

Prime factors of 13431 are 3, 11, 37. Prime factorization of 13431 in exponential form is:

13431 = 3¹ × 11² × 37¹

Step-2: Prime Factorization of 13437

Prime factors of 13437 are 3, 1493. Prime factorization of 13437 in exponential form is:

13437 = 3² × 1493¹

Step-3: Factors of 13431

List of positive integer factors of 13431 that divides 13431 without a remainder.

1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477

Step-4: Factors of 13437

List of positive integer factors of 13437 that divides 13431 without a remainder.

1, 3, 9, 1493, 4479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13431 and 13437. The biggest common factor number is the GCF number.
So the greatest common factor 13431 and 13437 is 3.

Also check out the Least Common Multiple of 13431 and 13437