What is the Greatest Common Factor of 93525 and 93543?

Greatest common factor (GCF) of 93525 and 93543 is 3.

GCF(93525,93543) = 3

We will now calculate the prime factors of 93525 and 93543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93525 and 93543.

How to find the GCF of 93525 and 93543?

We will first find the prime factorization of 93525 and 93543. After we will calculate the factors of 93525 and 93543 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 93543

Prime factors of 93543 are 3, 31181. Prime factorization of 93543 in exponential form is:

93543 = 3¹ × 31181¹

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 93543

List of positive integer factors of 93543 that divides 93525 without a remainder.

1, 3, 31181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93525 and 93543. The biggest common factor number is the GCF number.
So the greatest common factor 93525 and 93543 is 3.

Also check out the Least Common Multiple of 93525 and 93543