What is the Greatest Common Factor of 15525 and 15534?

Greatest common factor (GCF) of 15525 and 15534 is 9.

GCF(15525,15534) = 9

We will now calculate the prime factors of 15525 and 15534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15525 and 15534.

How to find the GCF of 15525 and 15534?

We will first find the prime factorization of 15525 and 15534. After we will calculate the factors of 15525 and 15534 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 15534

Prime factors of 15534 are 2, 3, 863. Prime factorization of 15534 in exponential form is:

15534 = 2¹ × 3² × 863¹

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 15534

List of positive integer factors of 15534 that divides 15525 without a remainder.

1, 2, 3, 6, 9, 18, 863, 1726, 2589, 5178, 7767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15525 and 15534. The biggest common factor number is the GCF number.
So the greatest common factor 15525 and 15534 is 9.

Also check out the Least Common Multiple of 15525 and 15534