What is the Greatest Common Factor of 19290 and 19306?

Greatest common factor (GCF) of 19290 and 19306 is 2.

GCF(19290,19306) = 2

We will now calculate the prime factors of 19290 and 19306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19290 and 19306.

How to find the GCF of 19290 and 19306?

We will first find the prime factorization of 19290 and 19306. After we will calculate the factors of 19290 and 19306 and find the biggest common factor number .

Step-1: Prime Factorization of 19290

Prime factors of 19290 are 2, 3, 5, 643. Prime factorization of 19290 in exponential form is:

19290 = 2¹ × 3¹ × 5¹ × 643¹

Step-2: Prime Factorization of 19306

Prime factors of 19306 are 2, 7, 197. Prime factorization of 19306 in exponential form is:

19306 = 2¹ × 7² × 197¹

Step-3: Factors of 19290

List of positive integer factors of 19290 that divides 19290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 643, 1286, 1929, 3215, 3858, 6430, 9645

Step-4: Factors of 19306

List of positive integer factors of 19306 that divides 19290 without a remainder.

1, 2, 7, 14, 49, 98, 197, 394, 1379, 2758, 9653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19290 and 19306. The biggest common factor number is the GCF number.
So the greatest common factor 19290 and 19306 is 2.

Also check out the Least Common Multiple of 19290 and 19306