What is the Greatest Common Factor of 19360 and 19367?

Greatest common factor (GCF) of 19360 and 19367 is 1.

GCF(19360,19367) = 1

We will now calculate the prime factors of 19360 and 19367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19360 and 19367.

How to find the GCF of 19360 and 19367?

We will first find the prime factorization of 19360 and 19367. After we will calculate the factors of 19360 and 19367 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 19367

Prime factors of 19367 are 107, 181. Prime factorization of 19367 in exponential form is:

19367 = 107¹ × 181¹

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 19367

List of positive integer factors of 19367 that divides 19360 without a remainder.

1, 107, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19360 and 19367. The biggest common factor number is the GCF number.
So the greatest common factor 19360 and 19367 is 1.

Also check out the Least Common Multiple of 19360 and 19367