What is the Greatest Common Factor of 19119 and 19134?

Greatest common factor (GCF) of 19119 and 19134 is 3.

GCF(19119,19134) = 3

We will now calculate the prime factors of 19119 and 19134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19119 and 19134.

How to find the GCF of 19119 and 19134?

We will first find the prime factorization of 19119 and 19134. After we will calculate the factors of 19119 and 19134 and find the biggest common factor number .

Step-1: Prime Factorization of 19119

Prime factors of 19119 are 3, 6373. Prime factorization of 19119 in exponential form is:

19119 = 3¹ × 6373¹

Step-2: Prime Factorization of 19134

Prime factors of 19134 are 2, 3, 1063. Prime factorization of 19134 in exponential form is:

19134 = 2¹ × 3² × 1063¹

Step-3: Factors of 19119

List of positive integer factors of 19119 that divides 19119 without a remainder.

1, 3, 6373

Step-4: Factors of 19134

List of positive integer factors of 19134 that divides 19119 without a remainder.

1, 2, 3, 6, 9, 18, 1063, 2126, 3189, 6378, 9567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19119 and 19134. The biggest common factor number is the GCF number.
So the greatest common factor 19119 and 19134 is 3.

Also check out the Least Common Multiple of 19119 and 19134