What is the Greatest Common Factor of 93525 and 93531?

Greatest common factor (GCF) of 93525 and 93531 is 3.

GCF(93525,93531) = 3

We will now calculate the prime factors of 93525 and 93531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93525 and 93531.

How to find the GCF of 93525 and 93531?

We will first find the prime factorization of 93525 and 93531. After we will calculate the factors of 93525 and 93531 and find the biggest common factor number .

Step-1: Prime Factorization of 93525

Prime factors of 93525 are 3, 5, 29, 43. Prime factorization of 93525 in exponential form is:

93525 = 3¹ × 5² × 29¹ × 43¹

Step-2: Prime Factorization of 93531

Prime factors of 93531 are 3, 31177. Prime factorization of 93531 in exponential form is:

93531 = 3¹ × 31177¹

Step-3: Factors of 93525

List of positive integer factors of 93525 that divides 93525 without a remainder.

1, 3, 5, 15, 25, 29, 43, 75, 87, 129, 145, 215, 435, 645, 725, 1075, 1247, 2175, 3225, 3741, 6235, 18705, 31175

Step-4: Factors of 93531

List of positive integer factors of 93531 that divides 93525 without a remainder.

1, 3, 31177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93525 and 93531. The biggest common factor number is the GCF number.
So the greatest common factor 93525 and 93531 is 3.

Also check out the Least Common Multiple of 93525 and 93531