What is the Greatest Common Factor of 19424 and 19438?

Greatest common factor (GCF) of 19424 and 19438 is 2.

GCF(19424,19438) = 2

We will now calculate the prime factors of 19424 and 19438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19424 and 19438.

How to find the GCF of 19424 and 19438?

We will first find the prime factorization of 19424 and 19438. After we will calculate the factors of 19424 and 19438 and find the biggest common factor number .

Step-1: Prime Factorization of 19424

Prime factors of 19424 are 2, 607. Prime factorization of 19424 in exponential form is:

19424 = 2⁵ × 607¹

Step-2: Prime Factorization of 19438

Prime factors of 19438 are 2, 9719. Prime factorization of 19438 in exponential form is:

19438 = 2¹ × 9719¹

Step-3: Factors of 19424

List of positive integer factors of 19424 that divides 19424 without a remainder.

1, 2, 4, 8, 16, 32, 607, 1214, 2428, 4856, 9712

Step-4: Factors of 19438

List of positive integer factors of 19438 that divides 19424 without a remainder.

1, 2, 9719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19424 and 19438. The biggest common factor number is the GCF number.
So the greatest common factor 19424 and 19438 is 2.

Also check out the Least Common Multiple of 19424 and 19438