What is the Greatest Common Factor of 17523 and 17530?

Greatest common factor (GCF) of 17523 and 17530 is 1.

GCF(17523,17530) = 1

We will now calculate the prime factors of 17523 and 17530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17523 and 17530.

How to find the GCF of 17523 and 17530?

We will first find the prime factorization of 17523 and 17530. After we will calculate the factors of 17523 and 17530 and find the biggest common factor number .

Step-1: Prime Factorization of 17523

Prime factors of 17523 are 3, 11, 59. Prime factorization of 17523 in exponential form is:

17523 = 3³ × 11¹ × 59¹

Step-2: Prime Factorization of 17530

Prime factors of 17530 are 2, 5, 1753. Prime factorization of 17530 in exponential form is:

17530 = 2¹ × 5¹ × 1753¹

Step-3: Factors of 17523

List of positive integer factors of 17523 that divides 17523 without a remainder.

1, 3, 9, 11, 27, 33, 59, 99, 177, 297, 531, 649, 1593, 1947, 5841

Step-4: Factors of 17530

List of positive integer factors of 17530 that divides 17523 without a remainder.

1, 2, 5, 10, 1753, 3506, 8765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17523 and 17530. The biggest common factor number is the GCF number.
So the greatest common factor 17523 and 17530 is 1.

Also check out the Least Common Multiple of 17523 and 17530