What is the Greatest Common Factor of 17425 and 17438?

Greatest common factor (GCF) of 17425 and 17438 is 1.

GCF(17425,17438) = 1

We will now calculate the prime factors of 17425 and 17438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17425 and 17438.

How to find the GCF of 17425 and 17438?

We will first find the prime factorization of 17425 and 17438. After we will calculate the factors of 17425 and 17438 and find the biggest common factor number .

Step-1: Prime Factorization of 17425

Prime factors of 17425 are 5, 17, 41. Prime factorization of 17425 in exponential form is:

17425 = 5² × 17¹ × 41¹

Step-2: Prime Factorization of 17438

Prime factors of 17438 are 2, 8719. Prime factorization of 17438 in exponential form is:

17438 = 2¹ × 8719¹

Step-3: Factors of 17425

List of positive integer factors of 17425 that divides 17425 without a remainder.

1, 5, 17, 25, 41, 85, 205, 425, 697, 1025, 3485

Step-4: Factors of 17438

List of positive integer factors of 17438 that divides 17425 without a remainder.

1, 2, 8719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17425 and 17438. The biggest common factor number is the GCF number.
So the greatest common factor 17425 and 17438 is 1.

Also check out the Least Common Multiple of 17425 and 17438