What is the Greatest Common Factor of 19396 and 19409?

Greatest common factor (GCF) of 19396 and 19409 is 13.

GCF(19396,19409) = 13

We will now calculate the prime factors of 19396 and 19409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19396 and 19409.

How to find the GCF of 19396 and 19409?

We will first find the prime factorization of 19396 and 19409. After we will calculate the factors of 19396 and 19409 and find the biggest common factor number .

Step-1: Prime Factorization of 19396

Prime factors of 19396 are 2, 13, 373. Prime factorization of 19396 in exponential form is:

19396 = 2² × 13¹ × 373¹

Step-2: Prime Factorization of 19409

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

19409 = 13¹ × 1493¹

Step-3: Factors of 19396

List of positive integer factors of 19396 that divides 19396 without a remainder.

1, 2, 4, 13, 26, 52, 373, 746, 1492, 4849, 9698

Step-4: Factors of 19409

List of positive integer factors of 19409 that divides 19396 without a remainder.

1, 13, 1493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19396 and 19409. The biggest common factor number is the GCF number.
So the greatest common factor 19396 and 19409 is 13.

Also check out the Least Common Multiple of 19396 and 19409