What is the Greatest Common Factor of 19409 and 19425?

Greatest common factor (GCF) of 19409 and 19425 is 1.

GCF(19409,19425) = 1

We will now calculate the prime factors of 19409 and 19425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19409 and 19425.

How to find the GCF of 19409 and 19425?

We will first find the prime factorization of 19409 and 19425. After we will calculate the factors of 19409 and 19425 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 19425

Prime factors of 19425 are 3, 5, 7, 37. Prime factorization of 19425 in exponential form is:

19425 = 3¹ × 5² × 7¹ × 37¹

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 19425

List of positive integer factors of 19425 that divides 19409 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 37, 75, 105, 111, 175, 185, 259, 525, 555, 777, 925, 1295, 2775, 3885, 6475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19409 and 19425. The biggest common factor number is the GCF number.
So the greatest common factor 19409 and 19425 is 1.

Also check out the Least Common Multiple of 19409 and 19425