What is the Greatest Common Factor of 19185 and 19190?

Greatest common factor (GCF) of 19185 and 19190 is 5.

GCF(19185,19190) = 5

We will now calculate the prime factors of 19185 and 19190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19185 and 19190.

How to find the GCF of 19185 and 19190?

We will first find the prime factorization of 19185 and 19190. After we will calculate the factors of 19185 and 19190 and find the biggest common factor number .

Step-1: Prime Factorization of 19185

Prime factors of 19185 are 3, 5, 1279. Prime factorization of 19185 in exponential form is:

19185 = 3¹ × 5¹ × 1279¹

Step-2: Prime Factorization of 19190

Prime factors of 19190 are 2, 5, 19, 101. Prime factorization of 19190 in exponential form is:

19190 = 2¹ × 5¹ × 19¹ × 101¹

Step-3: Factors of 19185

List of positive integer factors of 19185 that divides 19185 without a remainder.

1, 3, 5, 15, 1279, 3837, 6395

Step-4: Factors of 19190

List of positive integer factors of 19190 that divides 19185 without a remainder.

1, 2, 5, 10, 19, 38, 95, 101, 190, 202, 505, 1010, 1919, 3838, 9595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19185 and 19190. The biggest common factor number is the GCF number.
So the greatest common factor 19185 and 19190 is 5.

Also check out the Least Common Multiple of 19185 and 19190