What is the Greatest Common Factor of 15517 and 15525?

Greatest common factor (GCF) of 15517 and 15525 is 1.

GCF(15517,15525) = 1

We will now calculate the prime factors of 15517 and 15525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15517 and 15525.

How to find the GCF of 15517 and 15525?

We will first find the prime factorization of 15517 and 15525. After we will calculate the factors of 15517 and 15525 and find the biggest common factor number .

Step-1: Prime Factorization of 15517

Prime factors of 15517 are 59, 263. Prime factorization of 15517 in exponential form is:

15517 = 59¹ × 263¹

Step-2: Prime Factorization of 15525

Prime factors of 15525 are 3, 5, 23. Prime factorization of 15525 in exponential form is:

15525 = 3³ × 5² × 23¹

Step-3: Factors of 15517

List of positive integer factors of 15517 that divides 15517 without a remainder.

1, 59, 263

Step-4: Factors of 15525

List of positive integer factors of 15525 that divides 15517 without a remainder.

1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 115, 135, 207, 225, 345, 575, 621, 675, 1035, 1725, 3105, 5175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15517 and 15525. The biggest common factor number is the GCF number.
So the greatest common factor 15517 and 15525 is 1.

Also check out the Least Common Multiple of 15517 and 15525