What is the Greatest Common Factor of 19470 and 19487?

Greatest common factor (GCF) of 19470 and 19487 is 1.

GCF(19470,19487) = 1

We will now calculate the prime factors of 19470 and 19487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19470 and 19487.

How to find the GCF of 19470 and 19487?

We will first find the prime factorization of 19470 and 19487. After we will calculate the factors of 19470 and 19487 and find the biggest common factor number .

Step-1: Prime Factorization of 19470

Prime factors of 19470 are 2, 3, 5, 11, 59. Prime factorization of 19470 in exponential form is:

19470 = 2¹ × 3¹ × 5¹ × 11¹ × 59¹

Step-2: Prime Factorization of 19487

Prime factors of 19487 are 13, 1499. Prime factorization of 19487 in exponential form is:

19487 = 13¹ × 1499¹

Step-3: Factors of 19470

List of positive integer factors of 19470 that divides 19470 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 59, 66, 110, 118, 165, 177, 295, 330, 354, 590, 649, 885, 1298, 1770, 1947, 3245, 3894, 6490, 9735

Step-4: Factors of 19487

List of positive integer factors of 19487 that divides 19470 without a remainder.

1, 13, 1499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19470 and 19487. The biggest common factor number is the GCF number.
So the greatest common factor 19470 and 19487 is 1.

Also check out the Least Common Multiple of 19470 and 19487