What is the Greatest Common Factor of 17493 and 17509?

Greatest common factor (GCF) of 17493 and 17509 is 1.

GCF(17493,17509) = 1

We will now calculate the prime factors of 17493 and 17509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17493 and 17509.

How to find the GCF of 17493 and 17509?

We will first find the prime factorization of 17493 and 17509. After we will calculate the factors of 17493 and 17509 and find the biggest common factor number .

Step-1: Prime Factorization of 17493

Prime factors of 17493 are 3, 7, 17. Prime factorization of 17493 in exponential form is:

17493 = 3¹ × 7³ × 17¹

Step-2: Prime Factorization of 17509

Prime factors of 17509 are 17509. Prime factorization of 17509 in exponential form is:

17509 = 17509¹

Step-3: Factors of 17493

List of positive integer factors of 17493 that divides 17493 without a remainder.

1, 3, 7, 17, 21, 49, 51, 119, 147, 343, 357, 833, 1029, 2499, 5831

Step-4: Factors of 17509

List of positive integer factors of 17509 that divides 17493 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17493 and 17509. The biggest common factor number is the GCF number.
So the greatest common factor 17493 and 17509 is 1.

Also check out the Least Common Multiple of 17493 and 17509