What is the Greatest Common Factor of 19184 and 19195?

Greatest common factor (GCF) of 19184 and 19195 is 11.

GCF(19184,19195) = 11

We will now calculate the prime factors of 19184 and 19195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19184 and 19195.

How to find the GCF of 19184 and 19195?

We will first find the prime factorization of 19184 and 19195. After we will calculate the factors of 19184 and 19195 and find the biggest common factor number .

Step-1: Prime Factorization of 19184

Prime factors of 19184 are 2, 11, 109. Prime factorization of 19184 in exponential form is:

19184 = 2⁴ × 11¹ × 109¹

Step-2: Prime Factorization of 19195

Prime factors of 19195 are 5, 11, 349. Prime factorization of 19195 in exponential form is:

19195 = 5¹ × 11¹ × 349¹

Step-3: Factors of 19184

List of positive integer factors of 19184 that divides 19184 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 109, 176, 218, 436, 872, 1199, 1744, 2398, 4796, 9592

Step-4: Factors of 19195

List of positive integer factors of 19195 that divides 19184 without a remainder.

1, 5, 11, 55, 349, 1745, 3839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19184 and 19195. The biggest common factor number is the GCF number.
So the greatest common factor 19184 and 19195 is 11.

Also check out the Least Common Multiple of 19184 and 19195