What is the Greatest Common Factor of 93525 and 93540?

Greatest common factor (GCF) of 93525 and 93540 is 15.

GCF(93525,93540) = 15

We will now calculate the prime factors of 93525 and 93540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93525 and 93540.

How to find the GCF of 93525 and 93540?

We will first find the prime factorization of 93525 and 93540. After we will calculate the factors of 93525 and 93540 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 93540

Prime factors of 93540 are 2, 3, 5, 1559. Prime factorization of 93540 in exponential form is:

93540 = 2² × 3¹ × 5¹ × 1559¹

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 93540

List of positive integer factors of 93540 that divides 93525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1559, 3118, 4677, 6236, 7795, 9354, 15590, 18708, 23385, 31180, 46770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93525 and 93540. The biggest common factor number is the GCF number.
So the greatest common factor 93525 and 93540 is 15.

Also check out the Least Common Multiple of 93525 and 93540