What is the Greatest Common Factor of 9510 and 9525?

Greatest common factor (GCF) of 9510 and 9525 is 15.

GCF(9510,9525) = 15

We will now calculate the prime factors of 9510 and 9525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9510 and 9525.

How to find the GCF of 9510 and 9525?

We will first find the prime factorization of 9510 and 9525. After we will calculate the factors of 9510 and 9525 and find the biggest common factor number .

Step-1: Prime Factorization of 9510

Prime factors of 9510 are 2, 3, 5, 317. Prime factorization of 9510 in exponential form is:

9510 = 2¹ × 3¹ × 5¹ × 317¹

Step-2: 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-3: Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755

Step-4: Factors of 9525

List of positive integer factors of 9525 that divides 9510 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9510 and 9525. The biggest common factor number is the GCF number.
So the greatest common factor 9510 and 9525 is 15.

Also check out the Least Common Multiple of 9510 and 9525