What is the Greatest Common Factor of 19125 and 19144?

Greatest common factor (GCF) of 19125 and 19144 is 1.

GCF(19125,19144) = 1

We will now calculate the prime factors of 19125 and 19144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19125 and 19144.

How to find the GCF of 19125 and 19144?

We will first find the prime factorization of 19125 and 19144. After we will calculate the factors of 19125 and 19144 and find the biggest common factor number .

Step-1: Prime Factorization of 19125

Prime factors of 19125 are 3, 5, 17. Prime factorization of 19125 in exponential form is:

19125 = 3² × 5³ × 17¹

Step-2: Prime Factorization of 19144

Prime factors of 19144 are 2, 2393. Prime factorization of 19144 in exponential form is:

19144 = 2³ × 2393¹

Step-3: Factors of 19125

List of positive integer factors of 19125 that divides 19125 without a remainder.

1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 125, 153, 225, 255, 375, 425, 765, 1125, 1275, 2125, 3825, 6375

Step-4: Factors of 19144

List of positive integer factors of 19144 that divides 19125 without a remainder.

1, 2, 4, 8, 2393, 4786, 9572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19125 and 19144. The biggest common factor number is the GCF number.
So the greatest common factor 19125 and 19144 is 1.

Also check out the Least Common Multiple of 19125 and 19144