What is the Greatest Common Factor of 13374 and 13393?

Greatest common factor (GCF) of 13374 and 13393 is 1.

GCF(13374,13393) = 1

We will now calculate the prime factors of 13374 and 13393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13374 and 13393.

How to find the GCF of 13374 and 13393?

We will first find the prime factorization of 13374 and 13393. After we will calculate the factors of 13374 and 13393 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 13393

Prime factors of 13393 are 59, 227. Prime factorization of 13393 in exponential form is:

13393 = 59¹ × 227¹

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 13393

List of positive integer factors of 13393 that divides 13374 without a remainder.

1, 59, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13374 and 13393. The biggest common factor number is the GCF number.
So the greatest common factor 13374 and 13393 is 1.

Also check out the Least Common Multiple of 13374 and 13393