What is the Greatest Common Factor of 19360 and 19368?

Greatest common factor (GCF) of 19360 and 19368 is 8.

GCF(19360,19368) = 8

We will now calculate the prime factors of 19360 and 19368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19360 and 19368.

How to find the GCF of 19360 and 19368?

We will first find the prime factorization of 19360 and 19368. After we will calculate the factors of 19360 and 19368 and find the biggest common factor number .

Step-1: Prime Factorization of 19360

Prime factors of 19360 are 2, 5, 11. Prime factorization of 19360 in exponential form is:

19360 = 2⁵ × 5¹ × 11²

Step-2: 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-3: Factors of 19360

List of positive integer factors of 19360 that divides 19360 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 121, 160, 176, 220, 242, 352, 440, 484, 605, 880, 968, 1210, 1760, 1936, 2420, 3872, 4840, 9680

Step-4: Factors of 19368

List of positive integer factors of 19368 that divides 19360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19360 and 19368. The biggest common factor number is the GCF number.
So the greatest common factor 19360 and 19368 is 8.

Also check out the Least Common Multiple of 19360 and 19368