What is the Greatest Common Factor of 19434 and 19442?

Greatest common factor (GCF) of 19434 and 19442 is 2.

GCF(19434,19442) = 2

We will now calculate the prime factors of 19434 and 19442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19434 and 19442.

How to find the GCF of 19434 and 19442?

We will first find the prime factorization of 19434 and 19442. After we will calculate the factors of 19434 and 19442 and find the biggest common factor number .

Step-1: Prime Factorization of 19434

Prime factors of 19434 are 2, 3, 41, 79. Prime factorization of 19434 in exponential form is:

19434 = 2¹ × 3¹ × 41¹ × 79¹

Step-2: Prime Factorization of 19442

Prime factors of 19442 are 2, 9721. Prime factorization of 19442 in exponential form is:

19442 = 2¹ × 9721¹

Step-3: Factors of 19434

List of positive integer factors of 19434 that divides 19434 without a remainder.

1, 2, 3, 6, 41, 79, 82, 123, 158, 237, 246, 474, 3239, 6478, 9717

Step-4: Factors of 19442

List of positive integer factors of 19442 that divides 19434 without a remainder.

1, 2, 9721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19434 and 19442. The biggest common factor number is the GCF number.
So the greatest common factor 19434 and 19442 is 2.

Also check out the Least Common Multiple of 19434 and 19442