What is the Greatest Common Factor of 17475 and 17481?

Greatest common factor (GCF) of 17475 and 17481 is 3.

GCF(17475,17481) = 3

We will now calculate the prime factors of 17475 and 17481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17475 and 17481.

How to find the GCF of 17475 and 17481?

We will first find the prime factorization of 17475 and 17481. After we will calculate the factors of 17475 and 17481 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 17481

Prime factors of 17481 are 3, 5827. Prime factorization of 17481 in exponential form is:

17481 = 3¹ × 5827¹

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 17481

List of positive integer factors of 17481 that divides 17475 without a remainder.

1, 3, 5827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17475 and 17481. The biggest common factor number is the GCF number.
So the greatest common factor 17475 and 17481 is 3.

Also check out the Least Common Multiple of 17475 and 17481