What is the Greatest Common Factor of 19109 and 19116?

Greatest common factor (GCF) of 19109 and 19116 is 1.

GCF(19109,19116) = 1

We will now calculate the prime factors of 19109 and 19116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19109 and 19116.

How to find the GCF of 19109 and 19116?

We will first find the prime factorization of 19109 and 19116. After we will calculate the factors of 19109 and 19116 and find the biggest common factor number .

Step-1: Prime Factorization of 19109

Prime factors of 19109 are 97, 197. Prime factorization of 19109 in exponential form is:

19109 = 97¹ × 197¹

Step-2: Prime Factorization of 19116

Prime factors of 19116 are 2, 3, 59. Prime factorization of 19116 in exponential form is:

19116 = 2² × 3⁴ × 59¹

Step-3: Factors of 19109

List of positive integer factors of 19109 that divides 19109 without a remainder.

1, 97, 197

Step-4: Factors of 19116

List of positive integer factors of 19116 that divides 19109 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 236, 324, 354, 531, 708, 1062, 1593, 2124, 3186, 4779, 6372, 9558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19109 and 19116. The biggest common factor number is the GCF number.
So the greatest common factor 19109 and 19116 is 1.

Also check out the Least Common Multiple of 19109 and 19116