What is the Greatest Common Factor of 19408 and 19424?

Greatest common factor (GCF) of 19408 and 19424 is 16.

GCF(19408,19424) = 16

We will now calculate the prime factors of 19408 and 19424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19408 and 19424.

How to find the GCF of 19408 and 19424?

We will first find the prime factorization of 19408 and 19424. After we will calculate the factors of 19408 and 19424 and find the biggest common factor number .

Step-1: Prime Factorization of 19408

Prime factors of 19408 are 2, 1213. Prime factorization of 19408 in exponential form is:

19408 = 2⁴ × 1213¹

Step-2: Prime Factorization of 19424

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

19424 = 2⁵ × 607¹

Step-3: Factors of 19408

List of positive integer factors of 19408 that divides 19408 without a remainder.

1, 2, 4, 8, 16, 1213, 2426, 4852, 9704

Step-4: Factors of 19424

List of positive integer factors of 19424 that divides 19408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19408 and 19424. The biggest common factor number is the GCF number.
So the greatest common factor 19408 and 19424 is 16.

Also check out the Least Common Multiple of 19408 and 19424