What is the Greatest Common Factor of 9525 and 9531?

Greatest common factor (GCF) of 9525 and 9531 is 3.

GCF(9525,9531) = 3

We will now calculate the prime factors of 9525 and 9531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9525 and 9531.

How to find the GCF of 9525 and 9531?

We will first find the prime factorization of 9525 and 9531. After we will calculate the factors of 9525 and 9531 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 9531

Prime factors of 9531 are 3, 353. Prime factorization of 9531 in exponential form is:

9531 = 3³ × 353¹

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 9531

List of positive integer factors of 9531 that divides 9525 without a remainder.

1, 3, 9, 27, 353, 1059, 3177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9525 and 9531. The biggest common factor number is the GCF number.
So the greatest common factor 9525 and 9531 is 3.

Also check out the Least Common Multiple of 9525 and 9531