What is the Greatest Common Factor of 19010 and 19015?

Greatest common factor (GCF) of 19010 and 19015 is 5.

GCF(19010,19015) = 5

We will now calculate the prime factors of 19010 and 19015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19010 and 19015.

How to find the GCF of 19010 and 19015?

We will first find the prime factorization of 19010 and 19015. After we will calculate the factors of 19010 and 19015 and find the biggest common factor number .

Step-1: Prime Factorization of 19010

Prime factors of 19010 are 2, 5, 1901. Prime factorization of 19010 in exponential form is:

19010 = 2¹ × 5¹ × 1901¹

Step-2: Prime Factorization of 19015

Prime factors of 19015 are 5, 3803. Prime factorization of 19015 in exponential form is:

19015 = 5¹ × 3803¹

Step-3: Factors of 19010

List of positive integer factors of 19010 that divides 19010 without a remainder.

1, 2, 5, 10, 1901, 3802, 9505

Step-4: Factors of 19015

List of positive integer factors of 19015 that divides 19010 without a remainder.

1, 5, 3803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19010 and 19015. The biggest common factor number is the GCF number.
So the greatest common factor 19010 and 19015 is 5.

Also check out the Least Common Multiple of 19010 and 19015