What is the Greatest Common Factor of 93645 and 93660?

Greatest common factor (GCF) of 93645 and 93660 is 15.

GCF(93645,93660) = 15

We will now calculate the prime factors of 93645 and 93660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93645 and 93660.

How to find the GCF of 93645 and 93660?

We will first find the prime factorization of 93645 and 93660. After we will calculate the factors of 93645 and 93660 and find the biggest common factor number .

Step-1: Prime Factorization of 93645

Prime factors of 93645 are 3, 5, 2081. Prime factorization of 93645 in exponential form is:

93645 = 3² × 5¹ × 2081¹

Step-2: Prime Factorization of 93660

Prime factors of 93660 are 2, 3, 5, 7, 223. Prime factorization of 93660 in exponential form is:

93660 = 2² × 3¹ × 5¹ × 7¹ × 223¹

Step-3: Factors of 93645

List of positive integer factors of 93645 that divides 93645 without a remainder.

1, 3, 5, 9, 15, 45, 2081, 6243, 10405, 18729, 31215

Step-4: Factors of 93660

List of positive integer factors of 93660 that divides 93645 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 223, 420, 446, 669, 892, 1115, 1338, 1561, 2230, 2676, 3122, 3345, 4460, 4683, 6244, 6690, 7805, 9366, 13380, 15610, 18732, 23415, 31220, 46830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93645 and 93660. The biggest common factor number is the GCF number.
So the greatest common factor 93645 and 93660 is 15.

Also check out the Least Common Multiple of 93645 and 93660