What is the Greatest Common Factor of 13374 and 13389?

Greatest common factor (GCF) of 13374 and 13389 is 3.

GCF(13374,13389) = 3

We will now calculate the prime factors of 13374 and 13389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13374 and 13389.

How to find the GCF of 13374 and 13389?

We will first find the prime factorization of 13374 and 13389. After we will calculate the factors of 13374 and 13389 and find the biggest common factor number .

Step-1: Prime Factorization of 13374

Prime factors of 13374 are 2, 3, 743. Prime factorization of 13374 in exponential form is:

13374 = 2¹ × 3² × 743¹

Step-2: Prime Factorization of 13389

Prime factors of 13389 are 3, 4463. Prime factorization of 13389 in exponential form is:

13389 = 3¹ × 4463¹

Step-3: Factors of 13374

List of positive integer factors of 13374 that divides 13374 without a remainder.

1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687

Step-4: Factors of 13389

List of positive integer factors of 13389 that divides 13374 without a remainder.

1, 3, 4463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13374 and 13389. The biggest common factor number is the GCF number.
So the greatest common factor 13374 and 13389 is 3.

Also check out the Least Common Multiple of 13374 and 13389