What is the Greatest Common Factor of 19380 and 19398?

Greatest common factor (GCF) of 19380 and 19398 is 6.

GCF(19380,19398) = 6

We will now calculate the prime factors of 19380 and 19398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19380 and 19398.

How to find the GCF of 19380 and 19398?

We will first find the prime factorization of 19380 and 19398. After we will calculate the factors of 19380 and 19398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19398

Prime factors of 19398 are 2, 3, 53, 61. Prime factorization of 19398 in exponential form is:

19398 = 2¹ × 3¹ × 53¹ × 61¹

Step-3: Factors of 19380

List of positive integer factors of 19380 that divides 19380 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

Step-4: Factors of 19398

List of positive integer factors of 19398 that divides 19380 without a remainder.

1, 2, 3, 6, 53, 61, 106, 122, 159, 183, 318, 366, 3233, 6466, 9699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19380 and 19398. The biggest common factor number is the GCF number.
So the greatest common factor 19380 and 19398 is 6.

Also check out the Least Common Multiple of 19380 and 19398