What is the Greatest Common Factor of 19368 and 19377?

Greatest common factor (GCF) of 19368 and 19377 is 9.

GCF(19368,19377) = 9

We will now calculate the prime factors of 19368 and 19377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19368 and 19377.

How to find the GCF of 19368 and 19377?

We will first find the prime factorization of 19368 and 19377. After we will calculate the factors of 19368 and 19377 and find the biggest common factor number .

Step-1: Prime Factorization of 19368

Prime factors of 19368 are 2, 3, 269. Prime factorization of 19368 in exponential form is:

19368 = 2³ × 3² × 269¹

Step-2: Prime Factorization of 19377

Prime factors of 19377 are 3, 2153. Prime factorization of 19377 in exponential form is:

19377 = 3² × 2153¹

Step-3: Factors of 19368

List of positive integer factors of 19368 that divides 19368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 9684

Step-4: Factors of 19377

List of positive integer factors of 19377 that divides 19368 without a remainder.

1, 3, 9, 2153, 6459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19368 and 19377. The biggest common factor number is the GCF number.
So the greatest common factor 19368 and 19377 is 9.

Also check out the Least Common Multiple of 19368 and 19377