What is the Greatest Common Factor of 19367 and 19380?

Greatest common factor (GCF) of 19367 and 19380 is 1.

GCF(19367,19380) = 1

We will now calculate the prime factors of 19367 and 19380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19367 and 19380.

How to find the GCF of 19367 and 19380?

We will first find the prime factorization of 19367 and 19380. After we will calculate the factors of 19367 and 19380 and find the biggest common factor number .

Step-1: Prime Factorization of 19367

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

19367 = 107¹ × 181¹

Step-2: Prime Factorization of 19380

Prime factors of 19380 are 2, 3, 5, 17, 19. Prime factorization of 19380 in exponential form is:

19380 = 2² × 3¹ × 5¹ × 17¹ × 19¹

Step-3: Factors of 19367

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

1, 107, 181

Step-4: Factors of 19380

List of positive integer factors of 19380 that divides 19367 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 19, 20, 30, 34, 38, 51, 57, 60, 68, 76, 85, 95, 102, 114, 170, 190, 204, 228, 255, 285, 323, 340, 380, 510, 570, 646, 969, 1020, 1140, 1292, 1615, 1938, 3230, 3876, 4845, 6460, 9690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19367 and 19380. The biggest common factor number is the GCF number.
So the greatest common factor 19367 and 19380 is 1.

Also check out the Least Common Multiple of 19367 and 19380