What is the Greatest Common Factor of 9525 and 9540?

Greatest common factor (GCF) of 9525 and 9540 is 15.

GCF(9525,9540) = 15

We will now calculate the prime factors of 9525 and 9540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9525 and 9540.

How to find the GCF of 9525 and 9540?

We will first find the prime factorization of 9525 and 9540. After we will calculate the factors of 9525 and 9540 and find the biggest common factor number .

Step-1: Prime Factorization of 9525

Prime factors of 9525 are 3, 5, 127. Prime factorization of 9525 in exponential form is:

9525 = 3¹ × 5² × 127¹

Step-2: Prime Factorization of 9540

Prime factors of 9540 are 2, 3, 5, 53. Prime factorization of 9540 in exponential form is:

9540 = 2² × 3² × 5¹ × 53¹

Step-3: Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175

Step-4: Factors of 9540

List of positive integer factors of 9540 that divides 9525 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9525 and 9540. The biggest common factor number is the GCF number.
So the greatest common factor 9525 and 9540 is 15.

Also check out the Least Common Multiple of 9525 and 9540