What is the Greatest Common Factor of 19074 and 19086?

Greatest common factor (GCF) of 19074 and 19086 is 6.

GCF(19074,19086) = 6

We will now calculate the prime factors of 19074 and 19086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19074 and 19086.

How to find the GCF of 19074 and 19086?

We will first find the prime factorization of 19074 and 19086. After we will calculate the factors of 19074 and 19086 and find the biggest common factor number .

Step-1: Prime Factorization of 19074

Prime factors of 19074 are 2, 3, 11, 17. Prime factorization of 19074 in exponential form is:

19074 = 2¹ × 3¹ × 11¹ × 17²

Step-2: Prime Factorization of 19086

Prime factors of 19086 are 2, 3, 3181. Prime factorization of 19086 in exponential form is:

19086 = 2¹ × 3¹ × 3181¹

Step-3: Factors of 19074

List of positive integer factors of 19074 that divides 19074 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 289, 374, 561, 578, 867, 1122, 1734, 3179, 6358, 9537

Step-4: Factors of 19086

List of positive integer factors of 19086 that divides 19074 without a remainder.

1, 2, 3, 6, 3181, 6362, 9543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19074 and 19086. The biggest common factor number is the GCF number.
So the greatest common factor 19074 and 19086 is 6.

Also check out the Least Common Multiple of 19074 and 19086