What is the Greatest Common Factor of 17475 and 17493?

Greatest common factor (GCF) of 17475 and 17493 is 3.

GCF(17475,17493) = 3

We will now calculate the prime factors of 17475 and 17493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17475 and 17493.

How to find the GCF of 17475 and 17493?

We will first find the prime factorization of 17475 and 17493. After we will calculate the factors of 17475 and 17493 and find the biggest common factor number .

Step-1: Prime Factorization of 17475

Prime factors of 17475 are 3, 5, 233. Prime factorization of 17475 in exponential form is:

17475 = 3¹ × 5² × 233¹

Step-2: 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-3: Factors of 17475

List of positive integer factors of 17475 that divides 17475 without a remainder.

1, 3, 5, 15, 25, 75, 233, 699, 1165, 3495, 5825

Step-4: Factors of 17493

List of positive integer factors of 17493 that divides 17475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17475 and 17493. The biggest common factor number is the GCF number.
So the greatest common factor 17475 and 17493 is 3.

Also check out the Least Common Multiple of 17475 and 17493