What is the Greatest Common Factor of 9525 and 9533?

Greatest common factor (GCF) of 9525 and 9533 is 1.

GCF(9525,9533) = 1

We will now calculate the prime factors of 9525 and 9533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9525 and 9533.

How to find the GCF of 9525 and 9533?

We will first find the prime factorization of 9525 and 9533. After we will calculate the factors of 9525 and 9533 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 9533

Prime factors of 9533 are 9533. Prime factorization of 9533 in exponential form is:

9533 = 9533¹

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 9533

List of positive integer factors of 9533 that divides 9525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9525 and 9533. The biggest common factor number is the GCF number.
So the greatest common factor 9525 and 9533 is 1.

Also check out the Least Common Multiple of 9525 and 9533