What is the Greatest Common Factor of 19025 and 19030?

Greatest common factor (GCF) of 19025 and 19030 is 5.

GCF(19025,19030) = 5

We will now calculate the prime factors of 19025 and 19030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19025 and 19030.

How to find the GCF of 19025 and 19030?

We will first find the prime factorization of 19025 and 19030. After we will calculate the factors of 19025 and 19030 and find the biggest common factor number .

Step-1: Prime Factorization of 19025

Prime factors of 19025 are 5, 761. Prime factorization of 19025 in exponential form is:

19025 = 5² × 761¹

Step-2: Prime Factorization of 19030

Prime factors of 19030 are 2, 5, 11, 173. Prime factorization of 19030 in exponential form is:

19030 = 2¹ × 5¹ × 11¹ × 173¹

Step-3: Factors of 19025

List of positive integer factors of 19025 that divides 19025 without a remainder.

1, 5, 25, 761, 3805

Step-4: Factors of 19030

List of positive integer factors of 19030 that divides 19025 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 173, 346, 865, 1730, 1903, 3806, 9515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19025 and 19030. The biggest common factor number is the GCF number.
So the greatest common factor 19025 and 19030 is 5.

Also check out the Least Common Multiple of 19025 and 19030