What is the Greatest Common Factor of 19148 and 19165?

Greatest common factor (GCF) of 19148 and 19165 is 1.

GCF(19148,19165) = 1

We will now calculate the prime factors of 19148 and 19165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19148 and 19165.

How to find the GCF of 19148 and 19165?

We will first find the prime factorization of 19148 and 19165. After we will calculate the factors of 19148 and 19165 and find the biggest common factor number .

Step-1: Prime Factorization of 19148

Prime factors of 19148 are 2, 4787. Prime factorization of 19148 in exponential form is:

19148 = 2² × 4787¹

Step-2: Prime Factorization of 19165

Prime factors of 19165 are 5, 3833. Prime factorization of 19165 in exponential form is:

19165 = 5¹ × 3833¹

Step-3: Factors of 19148

List of positive integer factors of 19148 that divides 19148 without a remainder.

1, 2, 4, 4787, 9574

Step-4: Factors of 19165

List of positive integer factors of 19165 that divides 19148 without a remainder.

1, 5, 3833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19148 and 19165. The biggest common factor number is the GCF number.
So the greatest common factor 19148 and 19165 is 1.

Also check out the Least Common Multiple of 19148 and 19165