What is the Greatest Common Factor of 93525 and 93535?

Greatest common factor (GCF) of 93525 and 93535 is 5.

GCF(93525,93535) = 5

We will now calculate the prime factors of 93525 and 93535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93525 and 93535.

How to find the GCF of 93525 and 93535?

We will first find the prime factorization of 93525 and 93535. After we will calculate the factors of 93525 and 93535 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 93535

Prime factors of 93535 are 5, 13, 1439. Prime factorization of 93535 in exponential form is:

93535 = 5¹ × 13¹ × 1439¹

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 93535

List of positive integer factors of 93535 that divides 93525 without a remainder.

1, 5, 13, 65, 1439, 7195, 18707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93525 and 93535. The biggest common factor number is the GCF number.
So the greatest common factor 93525 and 93535 is 5.

Also check out the Least Common Multiple of 93525 and 93535