What is the Greatest Common Factor of 19116 and 19123?

Greatest common factor (GCF) of 19116 and 19123 is 1.

GCF(19116,19123) = 1

We will now calculate the prime factors of 19116 and 19123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19116 and 19123.

How to find the GCF of 19116 and 19123?

We will first find the prime factorization of 19116 and 19123. After we will calculate the factors of 19116 and 19123 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19123

Prime factors of 19123 are 13, 1471. Prime factorization of 19123 in exponential form is:

19123 = 13¹ × 1471¹

Step-3: Factors of 19116

List of positive integer factors of 19116 that divides 19116 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

Step-4: Factors of 19123

List of positive integer factors of 19123 that divides 19116 without a remainder.

1, 13, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19116 and 19123. The biggest common factor number is the GCF number.
So the greatest common factor 19116 and 19123 is 1.

Also check out the Least Common Multiple of 19116 and 19123