What is the Greatest Common Factor of 15525 and 15537?

Greatest common factor (GCF) of 15525 and 15537 is 3.

GCF(15525,15537) = 3

We will now calculate the prime factors of 15525 and 15537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15525 and 15537.

How to find the GCF of 15525 and 15537?

We will first find the prime factorization of 15525 and 15537. After we will calculate the factors of 15525 and 15537 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15537

Prime factors of 15537 are 3, 5179. Prime factorization of 15537 in exponential form is:

15537 = 3¹ × 5179¹

Step-3: Factors of 15525

List of positive integer factors of 15525 that divides 15525 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

Step-4: Factors of 15537

List of positive integer factors of 15537 that divides 15525 without a remainder.

1, 3, 5179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15525 and 15537. The biggest common factor number is the GCF number.
So the greatest common factor 15525 and 15537 is 3.

Also check out the Least Common Multiple of 15525 and 15537