What is the Greatest Common Factor of 19360 and 19365?

Greatest common factor (GCF) of 19360 and 19365 is 5.

GCF(19360,19365) = 5

We will now calculate the prime factors of 19360 and 19365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19360 and 19365.

How to find the GCF of 19360 and 19365?

We will first find the prime factorization of 19360 and 19365. After we will calculate the factors of 19360 and 19365 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 19365

Prime factors of 19365 are 3, 5, 1291. Prime factorization of 19365 in exponential form is:

19365 = 3¹ × 5¹ × 1291¹

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 19365

List of positive integer factors of 19365 that divides 19360 without a remainder.

1, 3, 5, 15, 1291, 3873, 6455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19360 and 19365. The biggest common factor number is the GCF number.
So the greatest common factor 19360 and 19365 is 5.

Also check out the Least Common Multiple of 19360 and 19365