What is the Greatest Common Factor of 19470 and 19485?

Greatest common factor (GCF) of 19470 and 19485 is 15.

GCF(19470,19485) = 15

We will now calculate the prime factors of 19470 and 19485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19470 and 19485.

How to find the GCF of 19470 and 19485?

We will first find the prime factorization of 19470 and 19485. After we will calculate the factors of 19470 and 19485 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 19485

Prime factors of 19485 are 3, 5, 433. Prime factorization of 19485 in exponential form is:

19485 = 3² × 5¹ × 433¹

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 19485

List of positive integer factors of 19485 that divides 19470 without a remainder.

1, 3, 5, 9, 15, 45, 433, 1299, 2165, 3897, 6495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19470 and 19485. The biggest common factor number is the GCF number.
So the greatest common factor 19470 and 19485 is 15.

Also check out the Least Common Multiple of 19470 and 19485