What is the Greatest Common Factor of 19409 and 19413?

Greatest common factor (GCF) of 19409 and 19413 is 1.

GCF(19409,19413) = 1

We will now calculate the prime factors of 19409 and 19413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19409 and 19413.

How to find the GCF of 19409 and 19413?

We will first find the prime factorization of 19409 and 19413. After we will calculate the factors of 19409 and 19413 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 19413

Prime factors of 19413 are 3, 719. Prime factorization of 19413 in exponential form is:

19413 = 3³ × 719¹

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 19413

List of positive integer factors of 19413 that divides 19409 without a remainder.

1, 3, 9, 27, 719, 2157, 6471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19409 and 19413. The biggest common factor number is the GCF number.
So the greatest common factor 19409 and 19413 is 1.

Also check out the Least Common Multiple of 19409 and 19413