What is the Greatest Common Factor of 19409 and 19424?

Greatest common factor (GCF) of 19409 and 19424 is 1.

GCF(19409,19424) = 1

We will now calculate the prime factors of 19409 and 19424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19409 and 19424.

How to find the GCF of 19409 and 19424?

We will first find the prime factorization of 19409 and 19424. After we will calculate the factors of 19409 and 19424 and find the biggest common factor number .

Step-1: Prime Factorization of 19409

Prime factors of 19409 are 13, 1493. Prime factorization of 19409 in exponential form is:

19409 = 13¹ × 1493¹

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 19409

List of positive integer factors of 19409 that divides 19409 without a remainder.

1, 13, 1493

Step-4: Factors of 19424

List of positive integer factors of 19424 that divides 19409 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 19409 and 19424. The biggest common factor number is the GCF number.
So the greatest common factor 19409 and 19424 is 1.

Also check out the Least Common Multiple of 19409 and 19424