What is the Greatest Common Factor of 17475 and 17487?

Greatest common factor (GCF) of 17475 and 17487 is 3.

GCF(17475,17487) = 3

We will now calculate the prime factors of 17475 and 17487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17475 and 17487.

How to find the GCF of 17475 and 17487?

We will first find the prime factorization of 17475 and 17487. After we will calculate the factors of 17475 and 17487 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 17487

Prime factors of 17487 are 3, 29, 67. Prime factorization of 17487 in exponential form is:

17487 = 3² × 29¹ × 67¹

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 17487

List of positive integer factors of 17487 that divides 17475 without a remainder.

1, 3, 9, 29, 67, 87, 201, 261, 603, 1943, 5829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17475 and 17487. The biggest common factor number is the GCF number.
So the greatest common factor 17475 and 17487 is 3.

Also check out the Least Common Multiple of 17475 and 17487