What is the Greatest Common Factor of 19116 and 19122?

Greatest common factor (GCF) of 19116 and 19122 is 6.

GCF(19116,19122) = 6

We will now calculate the prime factors of 19116 and 19122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19116 and 19122.

How to find the GCF of 19116 and 19122?

We will first find the prime factorization of 19116 and 19122. After we will calculate the factors of 19116 and 19122 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 19122

Prime factors of 19122 are 2, 3, 3187. Prime factorization of 19122 in exponential form is:

19122 = 2¹ × 3¹ × 3187¹

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 19122

List of positive integer factors of 19122 that divides 19116 without a remainder.

1, 2, 3, 6, 3187, 6374, 9561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19116 and 19122. The biggest common factor number is the GCF number.
So the greatest common factor 19116 and 19122 is 6.

Also check out the Least Common Multiple of 19116 and 19122