What is the Greatest Common Factor of 93540 and 93555?

Greatest common factor (GCF) of 93540 and 93555 is 15.

GCF(93540,93555) = 15

We will now calculate the prime factors of 93540 and 93555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93540 and 93555.

How to find the GCF of 93540 and 93555?

We will first find the prime factorization of 93540 and 93555. After we will calculate the factors of 93540 and 93555 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93555

Prime factors of 93555 are 3, 5, 7, 11. Prime factorization of 93555 in exponential form is:

93555 = 3⁵ × 5¹ × 7¹ × 11¹

Step-3: Factors of 93540

List of positive integer factors of 93540 that divides 93540 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

Step-4: Factors of 93555

List of positive integer factors of 93555 that divides 93540 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 27, 33, 35, 45, 55, 63, 77, 81, 99, 105, 135, 165, 189, 231, 243, 297, 315, 385, 405, 495, 567, 693, 891, 945, 1155, 1215, 1485, 1701, 2079, 2673, 2835, 3465, 4455, 6237, 8505, 10395, 13365, 18711, 31185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93540 and 93555. The biggest common factor number is the GCF number.
So the greatest common factor 93540 and 93555 is 15.

Also check out the Least Common Multiple of 93540 and 93555