What is the Greatest Common Factor of 17523 and 17528?

Greatest common factor (GCF) of 17523 and 17528 is 1.

GCF(17523,17528) = 1

We will now calculate the prime factors of 17523 and 17528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17523 and 17528.

How to find the GCF of 17523 and 17528?

We will first find the prime factorization of 17523 and 17528. After we will calculate the factors of 17523 and 17528 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 17528

Prime factors of 17528 are 2, 7, 313. Prime factorization of 17528 in exponential form is:

17528 = 2³ × 7¹ × 313¹

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 17528

List of positive integer factors of 17528 that divides 17523 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 313, 626, 1252, 2191, 2504, 4382, 8764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17523 and 17528. The biggest common factor number is the GCF number.
So the greatest common factor 17523 and 17528 is 1.

Also check out the Least Common Multiple of 17523 and 17528