What is the Greatest Common Factor of 19108 and 19125?

Greatest common factor (GCF) of 19108 and 19125 is 17.

GCF(19108,19125) = 17

We will now calculate the prime factors of 19108 and 19125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19108 and 19125.

How to find the GCF of 19108 and 19125?

We will first find the prime factorization of 19108 and 19125. After we will calculate the factors of 19108 and 19125 and find the biggest common factor number .

Step-1: Prime Factorization of 19108

Prime factors of 19108 are 2, 17, 281. Prime factorization of 19108 in exponential form is:

19108 = 2² × 17¹ × 281¹

Step-2: 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-3: Factors of 19108

List of positive integer factors of 19108 that divides 19108 without a remainder.

1, 2, 4, 17, 34, 68, 281, 562, 1124, 4777, 9554

Step-4: Factors of 19125

List of positive integer factors of 19125 that divides 19108 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19108 and 19125. The biggest common factor number is the GCF number.
So the greatest common factor 19108 and 19125 is 17.

Also check out the Least Common Multiple of 19108 and 19125